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Finding the Fourth Proportional to 187.78, 282.75 and 155.58

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Solution

The fourth proportional to 187.78, 282.75 and 155.58 is: 234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.78 : 282.75 = 155.58 : x
  2. Step 2: Convert to fraction form
    187.78/282.75 = 155.58/x
  3. Step 3: Cross multiply
    187.78x = 282.75 × 155.58
  4. Step 4: Simplify right side
    187.78x = 43,990.25
  5. Step 5: Solve for x
    x = 43,990.25/187.78
  6. Step 6: Final answer
    x = 234.26

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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.