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Finding the Fourth Proportional to 292.52, 438.42 and 129.86

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Solution

The fourth proportional to 292.52, 438.42 and 129.86 is: 194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.52 : 438.42 = 129.86 : x
  2. Step 2: Convert to fraction form
    292.52/438.42 = 129.86/x
  3. Step 3: Cross multiply
    292.52x = 438.42 × 129.86
  4. Step 4: Simplify right side
    292.52x = 56,933.22
  5. Step 5: Solve for x
    x = 56,933.22/292.52
  6. Step 6: Final answer
    x = 194.63

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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.