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Finding the Fourth Proportional to 142.38, 214.62 and 140.28

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Solution

The fourth proportional to 142.38, 214.62 and 140.28 is: 211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.38 : 214.62 = 140.28 : x
  2. Step 2: Convert to fraction form
    142.38/214.62 = 140.28/x
  3. Step 3: Cross multiply
    142.38x = 214.62 × 140.28
  4. Step 4: Simplify right side
    142.38x = 30,106.89
  5. Step 5: Solve for x
    x = 30,106.89/142.38
  6. Step 6: Final answer
    x = 211.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.