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Finding the Fourth Proportional to 261.39, 361.05 and 230.40

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Solution

The fourth proportional to 261.39, 361.05 and 230.40 is: 318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.39 : 361.05 = 230.40 : x
  2. Step 2: Convert to fraction form
    261.39/361.05 = 230.40/x
  3. Step 3: Cross multiply
    261.39x = 361.05 × 230.40
  4. Step 4: Simplify right side
    261.39x = 83,185.92
  5. Step 5: Solve for x
    x = 83,185.92/261.39
  6. Step 6: Final answer
    x = 318.24

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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.