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Finding the Fourth Proportional to 176.43, 243.45 and 150.30

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Solution

The fourth proportional to 176.43, 243.45 and 150.30 is: 207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.43 : 243.45 = 150.30 : x
  2. Step 2: Convert to fraction form
    176.43/243.45 = 150.30/x
  3. Step 3: Cross multiply
    176.43x = 243.45 × 150.30
  4. Step 4: Simplify right side
    176.43x = 36,590.54
  5. Step 5: Solve for x
    x = 36,590.54/176.43
  6. Step 6: Final answer
    x = 207.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.