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Finding the Fourth Proportional to 261.10, 359.75 and 230.30

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Solution

The fourth proportional to 261.10, 359.75 and 230.30 is: 317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.10 : 359.75 = 230.30 : x
  2. Step 2: Convert to fraction form
    261.10/359.75 = 230.30/x
  3. Step 3: Cross multiply
    261.10x = 359.75 × 230.30
  4. Step 4: Simplify right side
    261.10x = 82,850.43
  5. Step 5: Solve for x
    x = 82,850.43/261.10
  6. Step 6: Final answer
    x = 317.31

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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.