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Finding the Fourth Proportional to 261.57, 360.99 and 145.15

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Solution

The fourth proportional to 261.57, 360.99 and 145.15 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.57 : 360.99 = 145.15 : x
  2. Step 2: Convert to fraction form
    261.57/360.99 = 145.15/x
  3. Step 3: Cross multiply
    261.57x = 360.99 × 145.15
  4. Step 4: Simplify right side
    261.57x = 52,396.97
  5. Step 5: Solve for x
    x = 52,396.97/261.57
  6. Step 6: Final answer
    x = 200.32

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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.