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Finding the Fourth Proportional to 187.72, 283.15 and 178.36

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Solution

The fourth proportional to 187.72, 283.15 and 178.36 is: 269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 283.15 = 178.36 : x
  2. Step 2: Convert to fraction form
    187.72/283.15 = 178.36/x
  3. Step 3: Cross multiply
    187.72x = 283.15 × 178.36
  4. Step 4: Simplify right side
    187.72x = 50,502.63
  5. Step 5: Solve for x
    x = 50,502.63/187.72
  6. Step 6: Final answer
    x = 269.03

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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.