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Finding the Fourth Proportional to 311.95, 468.38 and 258.19

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Solution

The fourth proportional to 311.95, 468.38 and 258.19 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.95 : 468.38 = 258.19 : x
  2. Step 2: Convert to fraction form
    311.95/468.38 = 258.19/x
  3. Step 3: Cross multiply
    311.95x = 468.38 × 258.19
  4. Step 4: Simplify right side
    311.95x = 120,930.51
  5. Step 5: Solve for x
    x = 120,930.51/311.95
  6. Step 6: Final answer
    x = 387.66

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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.