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Finding the Fourth Proportional to 162.74, 224.38 and 154.10

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Solution

The fourth proportional to 162.74, 224.38 and 154.10 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.74 : 224.38 = 154.10 : x
  2. Step 2: Convert to fraction form
    162.74/224.38 = 154.10/x
  3. Step 3: Cross multiply
    162.74x = 224.38 × 154.10
  4. Step 4: Simplify right side
    162.74x = 34,576.96
  5. Step 5: Solve for x
    x = 34,576.96/162.74
  6. Step 6: Final answer
    x = 212.47

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Why These Related Problems?

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