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Finding the Fourth Proportional to 292.55, 438.71 and 87.12

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Solution

The fourth proportional to 292.55, 438.71 and 87.12 is: 130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.55 : 438.71 = 87.12 : x
  2. Step 2: Convert to fraction form
    292.55/438.71 = 87.12/x
  3. Step 3: Cross multiply
    292.55x = 438.71 × 87.12
  4. Step 4: Simplify right side
    292.55x = 38,219.98
  5. Step 5: Solve for x
    x = 38,219.98/292.55
  6. Step 6: Final answer
    x = 130.65

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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.