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Finding the Fourth Proportional to 237.78, 358.00 and 187.09

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Solution

The fourth proportional to 237.78, 358.00 and 187.09 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 358.00 = 187.09 : x
  2. Step 2: Convert to fraction form
    237.78/358.00 = 187.09/x
  3. Step 3: Cross multiply
    237.78x = 358.00 × 187.09
  4. Step 4: Simplify right side
    237.78x = 66,976.86
  5. Step 5: Solve for x
    x = 66,976.86/237.78
  6. Step 6: Final answer
    x = 281.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.