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Finding the Fourth Proportional to 261.55, 360.90 and 145.09

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Solution

The fourth proportional to 261.55, 360.90 and 145.09 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.55 : 360.90 = 145.09 : x
  2. Step 2: Convert to fraction form
    261.55/360.90 = 145.09/x
  3. Step 3: Cross multiply
    261.55x = 360.90 × 145.09
  4. Step 4: Simplify right side
    261.55x = 52,362.98
  5. Step 5: Solve for x
    x = 52,362.98/261.55
  6. Step 6: Final answer
    x = 200.20

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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.