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Finding the Fourth Proportional to 258.53, 387.80 and 96.23

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Solution

The fourth proportional to 258.53, 387.80 and 96.23 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.53 : 387.80 = 96.23 : x
  2. Step 2: Convert to fraction form
    258.53/387.80 = 96.23/x
  3. Step 3: Cross multiply
    258.53x = 387.80 × 96.23
  4. Step 4: Simplify right side
    258.53x = 37,315.57
  5. Step 5: Solve for x
    x = 37,315.57/258.53
  6. Step 6: Final answer
    x = 144.34

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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.