Home / 337.84-505.59-309

Finding the Fourth Proportional to 337.84, 505.59 and 309

Calculator

Solution

The fourth proportional to 337.84, 505.59 and 309 is: 462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 505.59 = 309 : x
  2. Step 2: Convert to fraction form
    337.84/505.59 = 309/x
  3. Step 3: Cross multiply
    337.84x = 505.59 × 309
  4. Step 4: Simplify right side
    337.84x = 156,227.31
  5. Step 5: Solve for x
    x = 156,227.31/337.84
  6. Step 6: Final answer
    x = 462.43

Related Problems

Find fourth proportional to 168.92, 252.80 and 154.50
Half scale
Find fourth proportional to 675.68, 1,011.18 and 618
Double scale
Find fourth proportional to 338.84, 507.09 and 310
Similar ratio
Find fourth proportional to 506.76, 758.39 and 463.50
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.