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Finding the Fourth Proportional to 369.92, 554.96 and 261.76

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Solution

The fourth proportional to 369.92, 554.96 and 261.76 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.92 : 554.96 = 261.76 : x
  2. Step 2: Convert to fraction form
    369.92/554.96 = 261.76/x
  3. Step 3: Cross multiply
    369.92x = 554.96 × 261.76
  4. Step 4: Simplify right side
    369.92x = 145,266.33
  5. Step 5: Solve for x
    x = 145,266.33/369.92
  6. Step 6: Final answer
    x = 392.70

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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.