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Finding the Fourth Proportional to 253.41, 348.87 and 187.80

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Solution

The fourth proportional to 253.41, 348.87 and 187.80 is: 258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 348.87 = 187.80 : x
  2. Step 2: Convert to fraction form
    253.41/348.87 = 187.80/x
  3. Step 3: Cross multiply
    253.41x = 348.87 × 187.80
  4. Step 4: Simplify right side
    253.41x = 65,517.79
  5. Step 5: Solve for x
    x = 65,517.79/253.41
  6. Step 6: Final answer
    x = 258.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.