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Finding the Fourth Proportional to 314.62, 469.84 and 311.23

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Solution

The fourth proportional to 314.62, 469.84 and 311.23 is: 464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.62 : 469.84 = 311.23 : x
  2. Step 2: Convert to fraction form
    314.62/469.84 = 311.23/x
  3. Step 3: Cross multiply
    314.62x = 469.84 × 311.23
  4. Step 4: Simplify right side
    314.62x = 146,228.30
  5. Step 5: Solve for x
    x = 146,228.30/314.62
  6. Step 6: Final answer
    x = 464.78

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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.