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Finding the Fourth Proportional to 176.46, 263.67 and 140.01

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Solution

The fourth proportional to 176.46, 263.67 and 140.01 is: 209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.46 : 263.67 = 140.01 : x
  2. Step 2: Convert to fraction form
    176.46/263.67 = 140.01/x
  3. Step 3: Cross multiply
    176.46x = 263.67 × 140.01
  4. Step 4: Simplify right side
    176.46x = 36,916.44
  5. Step 5: Solve for x
    x = 36,916.44/176.46
  6. Step 6: Final answer
    x = 209.21

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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.