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Finding the Fourth Proportional to 311.88, 469.58 and 231.30

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Solution

The fourth proportional to 311.88, 469.58 and 231.30 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 469.58 = 231.30 : x
  2. Step 2: Convert to fraction form
    311.88/469.58 = 231.30/x
  3. Step 3: Cross multiply
    311.88x = 469.58 × 231.30
  4. Step 4: Simplify right side
    311.88x = 108,612.70
  5. Step 5: Solve for x
    x = 108,612.70/311.88
  6. Step 6: Final answer
    x = 348.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.