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Finding the Fourth Proportional to 261.29, 360.38 and 178.25

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Solution

The fourth proportional to 261.29, 360.38 and 178.25 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.29 : 360.38 = 178.25 : x
  2. Step 2: Convert to fraction form
    261.29/360.38 = 178.25/x
  3. Step 3: Cross multiply
    261.29x = 360.38 × 178.25
  4. Step 4: Simplify right side
    261.29x = 64,235.04
  5. Step 5: Solve for x
    x = 64,235.04/261.29
  6. Step 6: Final answer
    x = 245.84

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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.