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Finding the Fourth Proportional to 145.94, 217.87 and 140.87

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Solution

The fourth proportional to 145.94, 217.87 and 140.87 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 217.87 = 140.87 : x
  2. Step 2: Convert to fraction form
    145.94/217.87 = 140.87/x
  3. Step 3: Cross multiply
    145.94x = 217.87 × 140.87
  4. Step 4: Simplify right side
    145.94x = 30,691.54
  5. Step 5: Solve for x
    x = 30,691.54/145.94
  6. Step 6: Final answer
    x = 210.31

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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.