Home / 345.82-519.41-209.13

Finding the Fourth Proportional to 345.82, 519.41 and 209.13

Calculator

Solution

The fourth proportional to 345.82, 519.41 and 209.13 is: 314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.82 : 519.41 = 209.13 : x
  2. Step 2: Convert to fraction form
    345.82/519.41 = 209.13/x
  3. Step 3: Cross multiply
    345.82x = 519.41 × 209.13
  4. Step 4: Simplify right side
    345.82x = 108,625.71
  5. Step 5: Solve for x
    x = 108,625.71/345.82
  6. Step 6: Final answer
    x = 314.11

Related Problems

Find fourth proportional to 172.91, 259.71 and 104.57
Half scale
Find fourth proportional to 691.64, 1,038.83 and 418.26
Double scale
Find fourth proportional to 346.82, 520.91 and 210.13
Similar ratio
Find fourth proportional to 518.73, 779.12 and 313.70
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.