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Finding the Fourth Proportional to 261.48, 390.30 and 231.09

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Solution

The fourth proportional to 261.48, 390.30 and 231.09 is: 344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 390.30 = 231.09 : x
  2. Step 2: Convert to fraction form
    261.48/390.30 = 231.09/x
  3. Step 3: Cross multiply
    261.48x = 390.30 × 231.09
  4. Step 4: Simplify right side
    261.48x = 90,194.43
  5. Step 5: Solve for x
    x = 90,194.43/261.48
  6. Step 6: Final answer
    x = 344.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.