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Finding the Fourth Proportional to 521.20, 719.55 and 356.16

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Solution

The fourth proportional to 521.20, 719.55 and 356.16 is: 491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.20 : 719.55 = 356.16 : x
  2. Step 2: Convert to fraction form
    521.20/719.55 = 356.16/x
  3. Step 3: Cross multiply
    521.20x = 719.55 × 356.16
  4. Step 4: Simplify right side
    521.20x = 256,273.15
  5. Step 5: Solve for x
    x = 256,273.15/521.20
  6. Step 6: Final answer
    x = 491.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.