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Finding the Fourth Proportional to 176.32, 242.24 and 147.20

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Solution

The fourth proportional to 176.32, 242.24 and 147.20 is: 202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.32 : 242.24 = 147.20 : x
  2. Step 2: Convert to fraction form
    176.32/242.24 = 147.20/x
  3. Step 3: Cross multiply
    176.32x = 242.24 × 147.20
  4. Step 4: Simplify right side
    176.32x = 35,657.73
  5. Step 5: Solve for x
    x = 35,657.73/176.32
  6. Step 6: Final answer
    x = 202.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.