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Finding the Fourth Proportional to 140.42, 210.67 and 53.80

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Solution

The fourth proportional to 140.42, 210.67 and 53.80 is: 80.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 210.67 = 53.80 : x
  2. Step 2: Convert to fraction form
    140.42/210.67 = 53.80/x
  3. Step 3: Cross multiply
    140.42x = 210.67 × 53.80
  4. Step 4: Simplify right side
    140.42x = 11,333.38
  5. Step 5: Solve for x
    x = 11,333.38/140.42
  6. Step 6: Final answer
    x = 80.71

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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.