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Finding the Fourth Proportional to 142.32, 212.10 and 141.12

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Solution

The fourth proportional to 142.32, 212.10 and 141.12 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 212.10 = 141.12 : x
  2. Step 2: Convert to fraction form
    142.32/212.10 = 141.12/x
  3. Step 3: Cross multiply
    142.32x = 212.10 × 141.12
  4. Step 4: Simplify right side
    142.32x = 29,930.49
  5. Step 5: Solve for x
    x = 29,930.49/142.32
  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.