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Finding the Fourth Proportional to 261.03, 360.21 and 144.59

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Solution

The fourth proportional to 261.03, 360.21 and 144.59 is: 199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.03 : 360.21 = 144.59 : x
  2. Step 2: Convert to fraction form
    261.03/360.21 = 144.59/x
  3. Step 3: Cross multiply
    261.03x = 360.21 × 144.59
  4. Step 4: Simplify right side
    261.03x = 52,082.76
  5. Step 5: Solve for x
    x = 52,082.76/261.03
  6. Step 6: Final answer
    x = 199.53

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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.