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Finding the Fourth Proportional to 316.52, 471.73 and 310.12

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Solution

The fourth proportional to 316.52, 471.73 and 310.12 is: 462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.52 : 471.73 = 310.12 : x
  2. Step 2: Convert to fraction form
    316.52/471.73 = 310.12/x
  3. Step 3: Cross multiply
    316.52x = 471.73 × 310.12
  4. Step 4: Simplify right side
    316.52x = 146,292.91
  5. Step 5: Solve for x
    x = 146,292.91/316.52
  6. Step 6: Final answer
    x = 462.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.