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Finding the Fourth Proportional to 176.80, 264.08 and 140.62

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Solution

The fourth proportional to 176.80, 264.08 and 140.62 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 264.08 = 140.62 : x
  2. Step 2: Convert to fraction form
    176.80/264.08 = 140.62/x
  3. Step 3: Cross multiply
    176.80x = 264.08 × 140.62
  4. Step 4: Simplify right side
    176.80x = 37,134.93
  5. Step 5: Solve for x
    x = 37,134.93/176.80
  6. Step 6: Final answer
    x = 210.04

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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.