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Finding the Fourth Proportional to 438.12, 604.92 and 291.24

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Solution

The fourth proportional to 438.12, 604.92 and 291.24 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 604.92 = 291.24 : x
  2. Step 2: Convert to fraction form
    438.12/604.92 = 291.24/x
  3. Step 3: Cross multiply
    438.12x = 604.92 × 291.24
  4. Step 4: Simplify right side
    438.12x = 176,176.90
  5. Step 5: Solve for x
    x = 176,176.90/438.12
  6. Step 6: Final answer
    x = 402.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.