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Finding the Fourth Proportional to 261.53, 360.89 and 145.10

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Solution

The fourth proportional to 261.53, 360.89 and 145.10 is: 200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 360.89 = 145.10 : x
  2. Step 2: Convert to fraction form
    261.53/360.89 = 145.10/x
  3. Step 3: Cross multiply
    261.53x = 360.89 × 145.10
  4. Step 4: Simplify right side
    261.53x = 52,362.61
  5. Step 5: Solve for x
    x = 52,362.61/261.53
  6. Step 6: Final answer
    x = 200.22

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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.