Home / 520.32-780.50-212.16

Finding the Fourth Proportional to 520.32, 780.50 and 212.16

Calculator

Solution

The fourth proportional to 520.32, 780.50 and 212.16 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 780.50 = 212.16 : x
  2. Step 2: Convert to fraction form
    520.32/780.50 = 212.16/x
  3. Step 3: Cross multiply
    520.32x = 780.50 × 212.16
  4. Step 4: Simplify right side
    520.32x = 165,590.88
  5. Step 5: Solve for x
    x = 165,590.88/520.32
  6. Step 6: Final answer
    x = 318.25

Related Problems

Find fourth proportional to 260.16, 390.25 and 106.08
Half scale
Find fourth proportional to 1,040.64, 1,561 and 424.32
Double scale
Find fourth proportional to 521.32, 782 and 213.16
Similar ratio
Find fourth proportional to 780.48, 1,170.75 and 318.24
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.