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Finding the Fourth Proportional to 261.40, 360.16 and 173.92

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Solution

The fourth proportional to 261.40, 360.16 and 173.92 is: 239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 360.16 = 173.92 : x
  2. Step 2: Convert to fraction form
    261.40/360.16 = 173.92/x
  3. Step 3: Cross multiply
    261.40x = 360.16 × 173.92
  4. Step 4: Simplify right side
    261.40x = 62,639.03
  5. Step 5: Solve for x
    x = 62,639.03/261.40
  6. Step 6: Final answer
    x = 239.63

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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.