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Finding the Fourth Proportional to 232.40, 320.85 and 149.63

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Solution

The fourth proportional to 232.40, 320.85 and 149.63 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 320.85 = 149.63 : x
  2. Step 2: Convert to fraction form
    232.40/320.85 = 149.63/x
  3. Step 3: Cross multiply
    232.40x = 320.85 × 149.63
  4. Step 4: Simplify right side
    232.40x = 48,007.18
  5. Step 5: Solve for x
    x = 48,007.18/232.40
  6. Step 6: Final answer
    x = 206.58

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