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Finding the Fourth Proportional to 162.48, 244.81 and 147.07

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Solution

The fourth proportional to 162.48, 244.81 and 147.07 is: 221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.48 : 244.81 = 147.07 : x
  2. Step 2: Convert to fraction form
    162.48/244.81 = 147.07/x
  3. Step 3: Cross multiply
    162.48x = 244.81 × 147.07
  4. Step 4: Simplify right side
    162.48x = 36,002.86
  5. Step 5: Solve for x
    x = 36,002.86/162.48
  6. Step 6: Final answer
    x = 221.59

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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.