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Finding the Fourth Proportional to 375.10, 517.29 and 235.23

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Solution

The fourth proportional to 375.10, 517.29 and 235.23 is: 324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 517.29 = 235.23 : x
  2. Step 2: Convert to fraction form
    375.10/517.29 = 235.23/x
  3. Step 3: Cross multiply
    375.10x = 517.29 × 235.23
  4. Step 4: Simplify right side
    375.10x = 121,682.13
  5. Step 5: Solve for x
    x = 121,682.13/375.10
  6. Step 6: Final answer
    x = 324.40

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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.