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Finding the Fourth Proportional to 402.36, 554.79 and 271.14

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Solution

The fourth proportional to 402.36, 554.79 and 271.14 is: 373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.36 : 554.79 = 271.14 : x
  2. Step 2: Convert to fraction form
    402.36/554.79 = 271.14/x
  3. Step 3: Cross multiply
    402.36x = 554.79 × 271.14
  4. Step 4: Simplify right side
    402.36x = 150,425.76
  5. Step 5: Solve for x
    x = 150,425.76/402.36
  6. Step 6: Final answer
    x = 373.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.