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Finding the Fourth Proportional to 360.74, 497.87 and 213.42

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Solution

The fourth proportional to 360.74, 497.87 and 213.42 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.74 : 497.87 = 213.42 : x
  2. Step 2: Convert to fraction form
    360.74/497.87 = 213.42/x
  3. Step 3: Cross multiply
    360.74x = 497.87 × 213.42
  4. Step 4: Simplify right side
    360.74x = 106,254.82
  5. Step 5: Solve for x
    x = 106,254.82/360.74
  6. Step 6: Final answer
    x = 294.55

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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.