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Finding the Fourth Proportional to 176.79, 264.11 and 140.76

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Solution

The fourth proportional to 176.79, 264.11 and 140.76 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.79 : 264.11 = 140.76 : x
  2. Step 2: Convert to fraction form
    176.79/264.11 = 140.76/x
  3. Step 3: Cross multiply
    176.79x = 264.11 × 140.76
  4. Step 4: Simplify right side
    176.79x = 37,175.42
  5. Step 5: Solve for x
    x = 37,175.42/176.79
  6. Step 6: Final answer
    x = 210.28

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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.