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Finding the Fourth Proportional to 261.24, 360.29 and 202.92

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Solution

The fourth proportional to 261.24, 360.29 and 202.92 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 360.29 = 202.92 : x
  2. Step 2: Convert to fraction form
    261.24/360.29 = 202.92/x
  3. Step 3: Cross multiply
    261.24x = 360.29 × 202.92
  4. Step 4: Simplify right side
    261.24x = 73,109.03
  5. Step 5: Solve for x
    x = 73,109.03/261.24
  6. Step 6: Final answer
    x = 279.85

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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.