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Finding the Fourth Proportional to 261.50, 360.28 and 174.02

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Solution

The fourth proportional to 261.50, 360.28 and 174.02 is: 239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 360.28 = 174.02 : x
  2. Step 2: Convert to fraction form
    261.50/360.28 = 174.02/x
  3. Step 3: Cross multiply
    261.50x = 360.28 × 174.02
  4. Step 4: Simplify right side
    261.50x = 62,693.69
  5. Step 5: Solve for x
    x = 62,693.69/261.50
  6. Step 6: Final answer
    x = 239.75

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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.