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Finding the Fourth Proportional to 258.74, 390.02 and 243.88

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Solution

The fourth proportional to 258.74, 390.02 and 243.88 is: 367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 390.02 = 243.88 : x
  2. Step 2: Convert to fraction form
    258.74/390.02 = 243.88/x
  3. Step 3: Cross multiply
    258.74x = 390.02 × 243.88
  4. Step 4: Simplify right side
    258.74x = 95,118.08
  5. Step 5: Solve for x
    x = 95,118.08/258.74
  6. Step 6: Final answer
    x = 367.62

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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.