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Finding the Fourth Proportional to 317.76, 442.04 and 311.84

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Solution

The fourth proportional to 317.76, 442.04 and 311.84 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 442.04 = 311.84 : x
  2. Step 2: Convert to fraction form
    317.76/442.04 = 311.84/x
  3. Step 3: Cross multiply
    317.76x = 442.04 × 311.84
  4. Step 4: Simplify right side
    317.76x = 137,845.75
  5. Step 5: Solve for x
    x = 137,845.75/317.76
  6. Step 6: Final answer
    x = 433.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.