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Finding the Fourth Proportional to 145.55, 217.02 and 140.28

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Solution

The fourth proportional to 145.55, 217.02 and 140.28 is: 209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.55 : 217.02 = 140.28 : x
  2. Step 2: Convert to fraction form
    145.55/217.02 = 140.28/x
  3. Step 3: Cross multiply
    145.55x = 217.02 × 140.28
  4. Step 4: Simplify right side
    145.55x = 30,443.57
  5. Step 5: Solve for x
    x = 30,443.57/145.55
  6. Step 6: Final answer
    x = 209.17

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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.