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Finding the Fourth Proportional to 261.01, 360.01 and 178.26

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Solution

The fourth proportional to 261.01, 360.01 and 178.26 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.01 : 360.01 = 178.26 : x
  2. Step 2: Convert to fraction form
    261.01/360.01 = 178.26/x
  3. Step 3: Cross multiply
    261.01x = 360.01 × 178.26
  4. Step 4: Simplify right side
    261.01x = 64,175.38
  5. Step 5: Solve for x
    x = 64,175.38/261.01
  6. Step 6: Final answer
    x = 245.87

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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.