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Finding the Fourth Proportional to 261.92, 361.52 and 170.08

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Solution

The fourth proportional to 261.92, 361.52 and 170.08 is: 234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.92 : 361.52 = 170.08 : x
  2. Step 2: Convert to fraction form
    261.92/361.52 = 170.08/x
  3. Step 3: Cross multiply
    261.92x = 361.52 × 170.08
  4. Step 4: Simplify right side
    261.92x = 61,487.32
  5. Step 5: Solve for x
    x = 61,487.32/261.92
  6. Step 6: Final answer
    x = 234.76

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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.