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Finding the Fourth Proportional to 310.35, 464.83 and 147.69

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Solution

The fourth proportional to 310.35, 464.83 and 147.69 is: 221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.35 : 464.83 = 147.69 : x
  2. Step 2: Convert to fraction form
    310.35/464.83 = 147.69/x
  3. Step 3: Cross multiply
    310.35x = 464.83 × 147.69
  4. Step 4: Simplify right side
    310.35x = 68,650.74
  5. Step 5: Solve for x
    x = 68,650.74/310.35
  6. Step 6: Final answer
    x = 221.20

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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.