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Finding the Fourth Proportional to 129.78, 193.66 and 118.28

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Solution

The fourth proportional to 129.78, 193.66 and 118.28 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.78 : 193.66 = 118.28 : x
  2. Step 2: Convert to fraction form
    129.78/193.66 = 118.28/x
  3. Step 3: Cross multiply
    129.78x = 193.66 × 118.28
  4. Step 4: Simplify right side
    129.78x = 22,905.81
  5. Step 5: Solve for x
    x = 22,905.81/129.78
  6. Step 6: Final answer
    x = 176.50

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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.