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Finding the Fourth Proportional to 402.98, 555.93 and 271.96

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Solution

The fourth proportional to 402.98, 555.93 and 271.96 is: 375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.98 : 555.93 = 271.96 : x
  2. Step 2: Convert to fraction form
    402.98/555.93 = 271.96/x
  3. Step 3: Cross multiply
    402.98x = 555.93 × 271.96
  4. Step 4: Simplify right side
    402.98x = 151,189.33
  5. Step 5: Solve for x
    x = 151,189.33/402.98
  6. Step 6: Final answer
    x = 375.18

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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.