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Finding the Fourth Proportional to 316.29, 472.29 and 270.57

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Solution

The fourth proportional to 316.29, 472.29 and 270.57 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.29 : 472.29 = 270.57 : x
  2. Step 2: Convert to fraction form
    316.29/472.29 = 270.57/x
  3. Step 3: Cross multiply
    316.29x = 472.29 × 270.57
  4. Step 4: Simplify right side
    316.29x = 127,787.51
  5. Step 5: Solve for x
    x = 127,787.51/316.29
  6. Step 6: Final answer
    x = 404.02

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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.