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Finding the Fourth Proportional to 261.21, 360.56 and 173.91

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Solution

The fourth proportional to 261.21, 360.56 and 173.91 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.21 : 360.56 = 173.91 : x
  2. Step 2: Convert to fraction form
    261.21/360.56 = 173.91/x
  3. Step 3: Cross multiply
    261.21x = 360.56 × 173.91
  4. Step 4: Simplify right side
    261.21x = 62,703.87
  5. Step 5: Solve for x
    x = 62,703.87/261.21
  6. Step 6: Final answer
    x = 240.05

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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.