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Finding the Fourth Proportional to 360.16, 497.02 and 202.80

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Solution

The fourth proportional to 360.16, 497.02 and 202.80 is: 279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 497.02 = 202.80 : x
  2. Step 2: Convert to fraction form
    360.16/497.02 = 202.80/x
  3. Step 3: Cross multiply
    360.16x = 497.02 × 202.80
  4. Step 4: Simplify right side
    360.16x = 100,796.15
  5. Step 5: Solve for x
    x = 100,796.15/360.16
  6. Step 6: Final answer
    x = 279.86

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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.