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Finding the Fourth Proportional to 261.85, 390.84 and 231.10

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Solution

The fourth proportional to 261.85, 390.84 and 231.10 is: 344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.85 : 390.84 = 231.10 : x
  2. Step 2: Convert to fraction form
    261.85/390.84 = 231.10/x
  3. Step 3: Cross multiply
    261.85x = 390.84 × 231.10
  4. Step 4: Simplify right side
    261.85x = 90,323.12
  5. Step 5: Solve for x
    x = 90,323.12/261.85
  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.