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Finding the Fourth Proportional to 153.69, 211.71 and 129.12

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Solution

The fourth proportional to 153.69, 211.71 and 129.12 is: 177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.69 : 211.71 = 129.12 : x
  2. Step 2: Convert to fraction form
    153.69/211.71 = 129.12/x
  3. Step 3: Cross multiply
    153.69x = 211.71 × 129.12
  4. Step 4: Simplify right side
    153.69x = 27,336.00
  5. Step 5: Solve for x
    x = 27,336.00/153.69
  6. Step 6: Final answer
    x = 177.86

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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.