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Finding the Fourth Proportional to 376.13, 517.34 and 302.29

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Solution

The fourth proportional to 376.13, 517.34 and 302.29 is: 415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.13 : 517.34 = 302.29 : x
  2. Step 2: Convert to fraction form
    376.13/517.34 = 302.29/x
  3. Step 3: Cross multiply
    376.13x = 517.34 × 302.29
  4. Step 4: Simplify right side
    376.13x = 156,386.71
  5. Step 5: Solve for x
    x = 156,386.71/376.13
  6. Step 6: Final answer
    x = 415.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.