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Finding the Fourth Proportional to 402.50, 555.23 and 271.55

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Solution

The fourth proportional to 402.50, 555.23 and 271.55 is: 374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.50 : 555.23 = 271.55 : x
  2. Step 2: Convert to fraction form
    402.50/555.23 = 271.55/x
  3. Step 3: Cross multiply
    402.50x = 555.23 × 271.55
  4. Step 4: Simplify right side
    402.50x = 150,768.57
  5. Step 5: Solve for x
    x = 150,768.57/402.50
  6. Step 6: Final answer
    x = 374.58

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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.