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Finding the Fourth Proportional to 187.78, 280.31 and 162.26

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Solution

The fourth proportional to 187.78, 280.31 and 162.26 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.78 : 280.31 = 162.26 : x
  2. Step 2: Convert to fraction form
    187.78/280.31 = 162.26/x
  3. Step 3: Cross multiply
    187.78x = 280.31 × 162.26
  4. Step 4: Simplify right side
    187.78x = 45,483.60
  5. Step 5: Solve for x
    x = 45,483.60/187.78
  6. Step 6: Final answer
    x = 242.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.