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Finding the Fourth Proportional to 135.47, 202.91 and 129.09

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Solution

The fourth proportional to 135.47, 202.91 and 129.09 is: 193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 202.91 = 129.09 : x
  2. Step 2: Convert to fraction form
    135.47/202.91 = 129.09/x
  3. Step 3: Cross multiply
    135.47x = 202.91 × 129.09
  4. Step 4: Simplify right side
    135.47x = 26,193.77
  5. Step 5: Solve for x
    x = 26,193.77/135.47
  6. Step 6: Final answer
    x = 193.35

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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.