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Finding the Fourth Proportional to 390.71, 537.50 and 337.86

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Solution

The fourth proportional to 390.71, 537.50 and 337.86 is: 464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.71 : 537.50 = 337.86 : x
  2. Step 2: Convert to fraction form
    390.71/537.50 = 337.86/x
  3. Step 3: Cross multiply
    390.71x = 537.50 × 337.86
  4. Step 4: Simplify right side
    390.71x = 181,598.06
  5. Step 5: Solve for x
    x = 181,598.06/390.71
  6. Step 6: Final answer
    x = 464.79

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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.