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Finding the Fourth Proportional to 145.73, 217.52 and 126.12

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Solution

The fourth proportional to 145.73, 217.52 and 126.12 is: 188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.73 : 217.52 = 126.12 : x
  2. Step 2: Convert to fraction form
    145.73/217.52 = 126.12/x
  3. Step 3: Cross multiply
    145.73x = 217.52 × 126.12
  4. Step 4: Simplify right side
    145.73x = 27,434.28
  5. Step 5: Solve for x
    x = 27,434.28/145.73
  6. Step 6: Final answer
    x = 188.25

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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.