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Finding the Fourth Proportional to 311.78, 468.06 and 258.32

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Solution

The fourth proportional to 311.78, 468.06 and 258.32 is: 387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 468.06 = 258.32 : x
  2. Step 2: Convert to fraction form
    311.78/468.06 = 258.32/x
  3. Step 3: Cross multiply
    311.78x = 468.06 × 258.32
  4. Step 4: Simplify right side
    311.78x = 120,909.26
  5. Step 5: Solve for x
    x = 120,909.26/311.78
  6. Step 6: Final answer
    x = 387.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.