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Finding the Fourth Proportional to 258.61, 386.71 and 200.17

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Solution

The fourth proportional to 258.61, 386.71 and 200.17 is: 299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.61 : 386.71 = 200.17 : x
  2. Step 2: Convert to fraction form
    258.61/386.71 = 200.17/x
  3. Step 3: Cross multiply
    258.61x = 386.71 × 200.17
  4. Step 4: Simplify right side
    258.61x = 77,405.31
  5. Step 5: Solve for x
    x = 77,405.31/258.61
  6. Step 6: Final answer
    x = 299.32

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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.