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Finding the Fourth Proportional to 487.84, 731.78 and 271.44

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Solution

The fourth proportional to 487.84, 731.78 and 271.44 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.84 : 731.78 = 271.44 : x
  2. Step 2: Convert to fraction form
    487.84/731.78 = 271.44/x
  3. Step 3: Cross multiply
    487.84x = 731.78 × 271.44
  4. Step 4: Simplify right side
    487.84x = 198,634.36
  5. Step 5: Solve for x
    x = 198,634.36/487.84
  6. Step 6: Final answer
    x = 407.17

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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.