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Finding the Fourth Proportional to 360.16, 497 and 202.78

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Solution

The fourth proportional to 360.16, 497 and 202.78 is: 279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 497 = 202.78 : x
  2. Step 2: Convert to fraction form
    360.16/497 = 202.78/x
  3. Step 3: Cross multiply
    360.16x = 497 × 202.78
  4. Step 4: Simplify right side
    360.16x = 100,781.66
  5. Step 5: Solve for x
    x = 100,781.66/360.16
  6. Step 6: Final answer
    x = 279.82

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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.