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Finding the Fourth Proportional to 140.40, 210.45 and 53.71

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Solution

The fourth proportional to 140.40, 210.45 and 53.71 is: 80.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 210.45 = 53.71 : x
  2. Step 2: Convert to fraction form
    140.40/210.45 = 53.71/x
  3. Step 3: Cross multiply
    140.40x = 210.45 × 53.71
  4. Step 4: Simplify right side
    140.40x = 11,302.12
  5. Step 5: Solve for x
    x = 11,302.12/140.40
  6. Step 6: Final answer
    x = 80.50

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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.