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Finding the Fourth Proportional to 162.78, 224.50 and 100.56

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Solution

The fourth proportional to 162.78, 224.50 and 100.56 is: 138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 224.50 = 100.56 : x
  2. Step 2: Convert to fraction form
    162.78/224.50 = 100.56/x
  3. Step 3: Cross multiply
    162.78x = 224.50 × 100.56
  4. Step 4: Simplify right side
    162.78x = 22,575.72
  5. Step 5: Solve for x
    x = 22,575.72/162.78
  6. Step 6: Final answer
    x = 138.69

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