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Finding the Fourth Proportional to 375.19, 517.17 and 264.49

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Solution

The fourth proportional to 375.19, 517.17 and 264.49 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.19 : 517.17 = 264.49 : x
  2. Step 2: Convert to fraction form
    375.19/517.17 = 264.49/x
  3. Step 3: Cross multiply
    375.19x = 517.17 × 264.49
  4. Step 4: Simplify right side
    375.19x = 136,786.29
  5. Step 5: Solve for x
    x = 136,786.29/375.19
  6. Step 6: Final answer
    x = 364.58

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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.