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Finding the Fourth Proportional to 145.67, 200.88 and 129.47

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Solution

The fourth proportional to 145.67, 200.88 and 129.47 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.67 : 200.88 = 129.47 : x
  2. Step 2: Convert to fraction form
    145.67/200.88 = 129.47/x
  3. Step 3: Cross multiply
    145.67x = 200.88 × 129.47
  4. Step 4: Simplify right side
    145.67x = 26,006.93
  5. Step 5: Solve for x
    x = 26,006.93/145.67
  6. Step 6: Final answer
    x = 178.54

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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.