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Finding the Fourth Proportional to 176.50, 263.81 and 140.02

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Solution

The fourth proportional to 176.50, 263.81 and 140.02 is: 209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.50 : 263.81 = 140.02 : x
  2. Step 2: Convert to fraction form
    176.50/263.81 = 140.02/x
  3. Step 3: Cross multiply
    176.50x = 263.81 × 140.02
  4. Step 4: Simplify right side
    176.50x = 36,938.68
  5. Step 5: Solve for x
    x = 36,938.68/176.50
  6. Step 6: Final answer
    x = 209.28

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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.