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Finding the Fourth Proportional to 258.52, 387.22 and 215.08

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Solution

The fourth proportional to 258.52, 387.22 and 215.08 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 387.22 = 215.08 : x
  2. Step 2: Convert to fraction form
    258.52/387.22 = 215.08/x
  3. Step 3: Cross multiply
    258.52x = 387.22 × 215.08
  4. Step 4: Simplify right side
    258.52x = 83,283.28
  5. Step 5: Solve for x
    x = 83,283.28/258.52
  6. Step 6: Final answer
    x = 322.15

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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.