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Finding the Fourth Proportional to 261.28, 360.64 and 173.92

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Solution

The fourth proportional to 261.28, 360.64 and 173.92 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 360.64 = 173.92 : x
  2. Step 2: Convert to fraction form
    261.28/360.64 = 173.92/x
  3. Step 3: Cross multiply
    261.28x = 360.64 × 173.92
  4. Step 4: Simplify right side
    261.28x = 62,722.51
  5. Step 5: Solve for x
    x = 62,722.51/261.28
  6. Step 6: Final answer
    x = 240.06

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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.