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Finding the Fourth Proportional to 162.31, 224.02 and 100.18

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Solution

The fourth proportional to 162.31, 224.02 and 100.18 is: 138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.31 : 224.02 = 100.18 : x
  2. Step 2: Convert to fraction form
    162.31/224.02 = 100.18/x
  3. Step 3: Cross multiply
    162.31x = 224.02 × 100.18
  4. Step 4: Simplify right side
    162.31x = 22,442.32
  5. Step 5: Solve for x
    x = 22,442.32/162.31
  6. Step 6: Final answer
    x = 138.27

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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.