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Finding the Fourth Proportional to 316.16, 474.71 and 273.17

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Solution

The fourth proportional to 316.16, 474.71 and 273.17 is: 410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.16 : 474.71 = 273.17 : x
  2. Step 2: Convert to fraction form
    316.16/474.71 = 273.17/x
  3. Step 3: Cross multiply
    316.16x = 474.71 × 273.17
  4. Step 4: Simplify right side
    316.16x = 129,672.79
  5. Step 5: Solve for x
    x = 129,672.79/316.16
  6. Step 6: Final answer
    x = 410.16

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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.