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Finding the Fourth Proportional to 145.91, 217.54 and 142.17

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Solution

The fourth proportional to 145.91, 217.54 and 142.17 is: 211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.91 : 217.54 = 142.17 : x
  2. Step 2: Convert to fraction form
    145.91/217.54 = 142.17/x
  3. Step 3: Cross multiply
    145.91x = 217.54 × 142.17
  4. Step 4: Simplify right side
    145.91x = 30,926.95
  5. Step 5: Solve for x
    x = 30,926.95/145.91
  6. Step 6: Final answer
    x = 211.96

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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.