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Finding the Fourth Proportional to 130.17, 193.98 and 129.57

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Solution

The fourth proportional to 130.17, 193.98 and 129.57 is: 193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.17 : 193.98 = 129.57 : x
  2. Step 2: Convert to fraction form
    130.17/193.98 = 129.57/x
  3. Step 3: Cross multiply
    130.17x = 193.98 × 129.57
  4. Step 4: Simplify right side
    130.17x = 25,133.99
  5. Step 5: Solve for x
    x = 25,133.99/130.17
  6. Step 6: Final answer
    x = 193.09

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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.