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Finding the Fourth Proportional to 232.16, 348.00 and 78.04

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Solution

The fourth proportional to 232.16, 348.00 and 78.04 is: 116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.16 : 348.00 = 78.04 : x
  2. Step 2: Convert to fraction form
    232.16/348.00 = 78.04/x
  3. Step 3: Cross multiply
    232.16x = 348.00 × 78.04
  4. Step 4: Simplify right side
    232.16x = 27,157.38
  5. Step 5: Solve for x
    x = 27,157.38/232.16
  6. Step 6: Final answer
    x = 116.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.