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Finding the Fourth Proportional to 310.17, 466.17 and 256.41

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Solution

The fourth proportional to 310.17, 466.17 and 256.41 is: 385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.17 : 466.17 = 256.41 : x
  2. Step 2: Convert to fraction form
    310.17/466.17 = 256.41/x
  3. Step 3: Cross multiply
    310.17x = 466.17 × 256.41
  4. Step 4: Simplify right side
    310.17x = 119,530.65
  5. Step 5: Solve for x
    x = 119,530.65/310.17
  6. Step 6: Final answer
    x = 385.37

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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.