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Finding the Fourth Proportional to 261.60, 361.20 and 184.08

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Solution

The fourth proportional to 261.60, 361.20 and 184.08 is: 254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 361.20 = 184.08 : x
  2. Step 2: Convert to fraction form
    261.60/361.20 = 184.08/x
  3. Step 3: Cross multiply
    261.60x = 361.20 × 184.08
  4. Step 4: Simplify right side
    261.60x = 66,489.70
  5. Step 5: Solve for x
    x = 66,489.70/261.60
  6. Step 6: Final answer
    x = 254.17

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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.