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Finding the Fourth Proportional to 310.12, 464.85 and 145.45

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Solution

The fourth proportional to 310.12, 464.85 and 145.45 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.12 : 464.85 = 145.45 : x
  2. Step 2: Convert to fraction form
    310.12/464.85 = 145.45/x
  3. Step 3: Cross multiply
    310.12x = 464.85 × 145.45
  4. Step 4: Simplify right side
    310.12x = 67,612.61
  5. Step 5: Solve for x
    x = 67,612.61/310.12
  6. Step 6: Final answer
    x = 218.02

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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.