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Finding the Fourth Proportional to 258.46, 390.03 and 250.76

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Solution

The fourth proportional to 258.46, 390.03 and 250.76 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.46 : 390.03 = 250.76 : x
  2. Step 2: Convert to fraction form
    258.46/390.03 = 250.76/x
  3. Step 3: Cross multiply
    258.46x = 390.03 × 250.76
  4. Step 4: Simplify right side
    258.46x = 97,805.37
  5. Step 5: Solve for x
    x = 97,805.37/258.46
  6. Step 6: Final answer
    x = 378.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.