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Finding the Fourth Proportional to 316.93, 472.99 and 308.73

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Solution

The fourth proportional to 316.93, 472.99 and 308.73 is: 460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.93 : 472.99 = 308.73 : x
  2. Step 2: Convert to fraction form
    316.93/472.99 = 308.73/x
  3. Step 3: Cross multiply
    316.93x = 472.99 × 308.73
  4. Step 4: Simplify right side
    316.93x = 146,026.20
  5. Step 5: Solve for x
    x = 146,026.20/316.93
  6. Step 6: Final answer
    x = 460.75

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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.