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Finding the Fourth Proportional to 258.50, 387.87 and 144.50

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Solution

The fourth proportional to 258.50, 387.87 and 144.50 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 387.87 = 144.50 : x
  2. Step 2: Convert to fraction form
    258.50/387.87 = 144.50/x
  3. Step 3: Cross multiply
    258.50x = 387.87 × 144.50
  4. Step 4: Simplify right side
    258.50x = 56,047.22
  5. Step 5: Solve for x
    x = 56,047.22/258.50
  6. Step 6: Final answer
    x = 216.82

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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.