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Finding the Fourth Proportional to 310.10, 465.13 and 104.65

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Solution

The fourth proportional to 310.10, 465.13 and 104.65 is: 156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 465.13 = 104.65 : x
  2. Step 2: Convert to fraction form
    310.10/465.13 = 104.65/x
  3. Step 3: Cross multiply
    310.10x = 465.13 × 104.65
  4. Step 4: Simplify right side
    310.10x = 48,675.85
  5. Step 5: Solve for x
    x = 48,675.85/310.10
  6. Step 6: Final answer
    x = 156.97

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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.