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Finding the Fourth Proportional to 162.30, 244.54 and 146.90

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Solution

The fourth proportional to 162.30, 244.54 and 146.90 is: 221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.30 : 244.54 = 146.90 : x
  2. Step 2: Convert to fraction form
    162.30/244.54 = 146.90/x
  3. Step 3: Cross multiply
    162.30x = 244.54 × 146.90
  4. Step 4: Simplify right side
    162.30x = 35,920.97
  5. Step 5: Solve for x
    x = 35,920.97/162.30
  6. Step 6: Final answer
    x = 221.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.