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Finding the Fourth Proportional to 375.29, 517.91 and 227.89

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Solution

The fourth proportional to 375.29, 517.91 and 227.89 is: 314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.29 : 517.91 = 227.89 : x
  2. Step 2: Convert to fraction form
    375.29/517.91 = 227.89/x
  3. Step 3: Cross multiply
    375.29x = 517.91 × 227.89
  4. Step 4: Simplify right side
    375.29x = 118,026.51
  5. Step 5: Solve for x
    x = 118,026.51/375.29
  6. Step 6: Final answer
    x = 314.49

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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.