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Finding the Fourth Proportional to 140.85, 211.40 and 72.41

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Solution

The fourth proportional to 140.85, 211.40 and 72.41 is: 108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.85 : 211.40 = 72.41 : x
  2. Step 2: Convert to fraction form
    140.85/211.40 = 72.41/x
  3. Step 3: Cross multiply
    140.85x = 211.40 × 72.41
  4. Step 4: Simplify right side
    140.85x = 15,307.71
  5. Step 5: Solve for x
    x = 15,307.71/140.85
  6. Step 6: Final answer
    x = 108.68

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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.