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Finding the Fourth Proportional to 292.27, 437.95 and 138.17

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Solution

The fourth proportional to 292.27, 437.95 and 138.17 is: 207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.27 : 437.95 = 138.17 : x
  2. Step 2: Convert to fraction form
    292.27/437.95 = 138.17/x
  3. Step 3: Cross multiply
    292.27x = 437.95 × 138.17
  4. Step 4: Simplify right side
    292.27x = 60,508.67
  5. Step 5: Solve for x
    x = 60,508.67/292.27
  6. Step 6: Final answer
    x = 207.03

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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.