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Finding the Fourth Proportional to 382.39, 527.61 and 258.28

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Solution

The fourth proportional to 382.39, 527.61 and 258.28 is: 356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.39 : 527.61 = 258.28 : x
  2. Step 2: Convert to fraction form
    382.39/527.61 = 258.28/x
  3. Step 3: Cross multiply
    382.39x = 527.61 × 258.28
  4. Step 4: Simplify right side
    382.39x = 136,271.11
  5. Step 5: Solve for x
    x = 136,271.11/382.39
  6. Step 6: Final answer
    x = 356.37

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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.