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Finding the Fourth Proportional to 310.12, 464.78 and 173.24

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Solution

The fourth proportional to 310.12, 464.78 and 173.24 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.12 : 464.78 = 173.24 : x
  2. Step 2: Convert to fraction form
    310.12/464.78 = 173.24/x
  3. Step 3: Cross multiply
    310.12x = 464.78 × 173.24
  4. Step 4: Simplify right side
    310.12x = 80,518.49
  5. Step 5: Solve for x
    x = 80,518.49/310.12
  6. Step 6: Final answer
    x = 259.64

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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.