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Finding the Fourth Proportional to 310.17, 464.22 and 258.91

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Solution

The fourth proportional to 310.17, 464.22 and 258.91 is: 387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.17 : 464.22 = 258.91 : x
  2. Step 2: Convert to fraction form
    310.17/464.22 = 258.91/x
  3. Step 3: Cross multiply
    310.17x = 464.22 × 258.91
  4. Step 4: Simplify right side
    310.17x = 120,191.20
  5. Step 5: Solve for x
    x = 120,191.20/310.17
  6. Step 6: Final answer
    x = 387.50

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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.