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Finding the Fourth Proportional to 312.29, 466.29 and 310.03

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Solution

The fourth proportional to 312.29, 466.29 and 310.03 is: 462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 466.29 = 310.03 : x
  2. Step 2: Convert to fraction form
    312.29/466.29 = 310.03/x
  3. Step 3: Cross multiply
    312.29x = 466.29 × 310.03
  4. Step 4: Simplify right side
    312.29x = 144,562.72
  5. Step 5: Solve for x
    x = 144,562.72/312.29
  6. Step 6: Final answer
    x = 462.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.