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Finding the Fourth Proportional to 258.50, 388.02 and 161.10

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Solution

The fourth proportional to 258.50, 388.02 and 161.10 is: 241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 388.02 = 161.10 : x
  2. Step 2: Convert to fraction form
    258.50/388.02 = 161.10/x
  3. Step 3: Cross multiply
    258.50x = 388.02 × 161.10
  4. Step 4: Simplify right side
    258.50x = 62,510.02
  5. Step 5: Solve for x
    x = 62,510.02/258.50
  6. Step 6: Final answer
    x = 241.82

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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.