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Finding the Fourth Proportional to 261.88, 390.90 and 231.13

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Solution

The fourth proportional to 261.88, 390.90 and 231.13 is: 345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.88 : 390.90 = 231.13 : x
  2. Step 2: Convert to fraction form
    261.88/390.90 = 231.13/x
  3. Step 3: Cross multiply
    261.88x = 390.90 × 231.13
  4. Step 4: Simplify right side
    261.88x = 90,348.72
  5. Step 5: Solve for x
    x = 90,348.72/261.88
  6. Step 6: Final answer
    x = 345.00

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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.