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Finding the Fourth Proportional to 261.25, 360.34 and 150.68

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Solution

The fourth proportional to 261.25, 360.34 and 150.68 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.25 : 360.34 = 150.68 : x
  2. Step 2: Convert to fraction form
    261.25/360.34 = 150.68/x
  3. Step 3: Cross multiply
    261.25x = 360.34 × 150.68
  4. Step 4: Simplify right side
    261.25x = 54,296.56
  5. Step 5: Solve for x
    x = 54,296.56/261.25
  6. Step 6: Final answer
    x = 207.84

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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.