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Finding the Fourth Proportional to 178.35, 266.43 and 129.21

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Solution

The fourth proportional to 178.35, 266.43 and 129.21 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.35 : 266.43 = 129.21 : x
  2. Step 2: Convert to fraction form
    178.35/266.43 = 129.21/x
  3. Step 3: Cross multiply
    178.35x = 266.43 × 129.21
  4. Step 4: Simplify right side
    178.35x = 34,424.77
  5. Step 5: Solve for x
    x = 34,424.77/178.35
  6. Step 6: Final answer
    x = 193.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.