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Finding the Fourth Proportional to 162.49, 224.14 and 97.02

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Solution

The fourth proportional to 162.49, 224.14 and 97.02 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 224.14 = 97.02 : x
  2. Step 2: Convert to fraction form
    162.49/224.14 = 97.02/x
  3. Step 3: Cross multiply
    162.49x = 224.14 × 97.02
  4. Step 4: Simplify right side
    162.49x = 21,746.06
  5. Step 5: Solve for x
    x = 21,746.06/162.49
  6. Step 6: Final answer
    x = 133.83

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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.