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Finding the Fourth Proportional to 310.04, 464.78 and 147.56

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Solution

The fourth proportional to 310.04, 464.78 and 147.56 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.04 : 464.78 = 147.56 : x
  2. Step 2: Convert to fraction form
    310.04/464.78 = 147.56/x
  3. Step 3: Cross multiply
    310.04x = 464.78 × 147.56
  4. Step 4: Simplify right side
    310.04x = 68,582.94
  5. Step 5: Solve for x
    x = 68,582.94/310.04
  6. Step 6: Final answer
    x = 221.21

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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.