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Finding the Fourth Proportional to 261.74, 360.42 and 203.42

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Solution

The fourth proportional to 261.74, 360.42 and 203.42 is: 280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 360.42 = 203.42 : x
  2. Step 2: Convert to fraction form
    261.74/360.42 = 203.42/x
  3. Step 3: Cross multiply
    261.74x = 360.42 × 203.42
  4. Step 4: Simplify right side
    261.74x = 73,316.64
  5. Step 5: Solve for x
    x = 73,316.64/261.74
  6. Step 6: Final answer
    x = 280.11

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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.