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Finding the Fourth Proportional to 397.56, 595.87 and 258.54

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Solution

The fourth proportional to 397.56, 595.87 and 258.54 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 595.87 = 258.54 : x
  2. Step 2: Convert to fraction form
    397.56/595.87 = 258.54/x
  3. Step 3: Cross multiply
    397.56x = 595.87 × 258.54
  4. Step 4: Simplify right side
    397.56x = 154,058.15
  5. Step 5: Solve for x
    x = 154,058.15/397.56
  6. Step 6: Final answer
    x = 387.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.