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Finding the Fourth Proportional to 292, 438.17 and 129.70

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Solution

The fourth proportional to 292, 438.17 and 129.70 is: 194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292 : 438.17 = 129.70 : x
  2. Step 2: Convert to fraction form
    292/438.17 = 129.70/x
  3. Step 3: Cross multiply
    292x = 438.17 × 129.70
  4. Step 4: Simplify right side
    292x = 56,830.65
  5. Step 5: Solve for x
    x = 56,830.65/292
  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.