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Finding the Fourth Proportional to 369.80, 554.18 and 232.78

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Solution

The fourth proportional to 369.80, 554.18 and 232.78 is: 348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 554.18 = 232.78 : x
  2. Step 2: Convert to fraction form
    369.80/554.18 = 232.78/x
  3. Step 3: Cross multiply
    369.80x = 554.18 × 232.78
  4. Step 4: Simplify right side
    369.80x = 129,002.02
  5. Step 5: Solve for x
    x = 129,002.02/369.80
  6. Step 6: Final answer
    x = 348.84

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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.