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Finding the Fourth Proportional to 277.97, 415.20 and 232.38

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Solution

The fourth proportional to 277.97, 415.20 and 232.38 is: 347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 415.20 = 232.38 : x
  2. Step 2: Convert to fraction form
    277.97/415.20 = 232.38/x
  3. Step 3: Cross multiply
    277.97x = 415.20 × 232.38
  4. Step 4: Simplify right side
    277.97x = 96,484.18
  5. Step 5: Solve for x
    x = 96,484.18/277.97
  6. Step 6: Final answer
    x = 347.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.