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Finding the Fourth Proportional to 375.24, 517.74 and 258.78

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Solution

The fourth proportional to 375.24, 517.74 and 258.78 is: 357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.24 : 517.74 = 258.78 : x
  2. Step 2: Convert to fraction form
    375.24/517.74 = 258.78/x
  3. Step 3: Cross multiply
    375.24x = 517.74 × 258.78
  4. Step 4: Simplify right side
    375.24x = 133,980.76
  5. Step 5: Solve for x
    x = 133,980.76/375.24
  6. Step 6: Final answer
    x = 357.05

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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.