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Finding the Fourth Proportional to 141.30, 212.10 and 140.64

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Solution

The fourth proportional to 141.30, 212.10 and 140.64 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.30 : 212.10 = 140.64 : x
  2. Step 2: Convert to fraction form
    141.30/212.10 = 140.64/x
  3. Step 3: Cross multiply
    141.30x = 212.10 × 140.64
  4. Step 4: Simplify right side
    141.30x = 29,829.74
  5. Step 5: Solve for x
    x = 29,829.74/141.30
  6. Step 6: Final answer
    x = 211.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.