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Finding the Fourth Proportional to 162.46, 224.12 and 99.40

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Solution

The fourth proportional to 162.46, 224.12 and 99.40 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.46 : 224.12 = 99.40 : x
  2. Step 2: Convert to fraction form
    162.46/224.12 = 99.40/x
  3. Step 3: Cross multiply
    162.46x = 224.12 × 99.40
  4. Step 4: Simplify right side
    162.46x = 22,277.71
  5. Step 5: Solve for x
    x = 22,277.71/162.46
  6. Step 6: Final answer
    x = 137.13

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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.