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Finding the Fourth Proportional to 153.93, 212.61 and 129.49

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Solution

The fourth proportional to 153.93, 212.61 and 129.49 is: 178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.93 : 212.61 = 129.49 : x
  2. Step 2: Convert to fraction form
    153.93/212.61 = 129.49/x
  3. Step 3: Cross multiply
    153.93x = 212.61 × 129.49
  4. Step 4: Simplify right side
    153.93x = 27,530.87
  5. Step 5: Solve for x
    x = 27,530.87/153.93
  6. Step 6: Final answer
    x = 178.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.