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Finding the Fourth Proportional to 162.38, 244.54 and 142.34

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Solution

The fourth proportional to 162.38, 244.54 and 142.34 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 244.54 = 142.34 : x
  2. Step 2: Convert to fraction form
    162.38/244.54 = 142.34/x
  3. Step 3: Cross multiply
    162.38x = 244.54 × 142.34
  4. Step 4: Simplify right side
    162.38x = 34,806.60
  5. Step 5: Solve for x
    x = 34,806.60/162.38
  6. Step 6: Final answer
    x = 214.35

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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.