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Finding the Fourth Proportional to 176.42, 263.55 and 140.39

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Solution

The fourth proportional to 176.42, 263.55 and 140.39 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.42 : 263.55 = 140.39 : x
  2. Step 2: Convert to fraction form
    176.42/263.55 = 140.39/x
  3. Step 3: Cross multiply
    176.42x = 263.55 × 140.39
  4. Step 4: Simplify right side
    176.42x = 36,997.94
  5. Step 5: Solve for x
    x = 36,997.94/176.42
  6. Step 6: Final answer
    x = 209.72

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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.