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Finding the Fourth Proportional to 314.59, 471.16 and 262.30

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Solution

The fourth proportional to 314.59, 471.16 and 262.30 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.59 : 471.16 = 262.30 : x
  2. Step 2: Convert to fraction form
    314.59/471.16 = 262.30/x
  3. Step 3: Cross multiply
    314.59x = 471.16 × 262.30
  4. Step 4: Simplify right side
    314.59x = 123,585.27
  5. Step 5: Solve for x
    x = 123,585.27/314.59
  6. Step 6: Final answer
    x = 392.85

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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.