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Finding the Fourth Proportional to 145.33, 216.68 and 129.85

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Solution

The fourth proportional to 145.33, 216.68 and 129.85 is: 193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.33 : 216.68 = 129.85 : x
  2. Step 2: Convert to fraction form
    145.33/216.68 = 129.85/x
  3. Step 3: Cross multiply
    145.33x = 216.68 × 129.85
  4. Step 4: Simplify right side
    145.33x = 28,135.90
  5. Step 5: Solve for x
    x = 28,135.90/145.33
  6. Step 6: Final answer
    x = 193.60

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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.