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Finding the Fourth Proportional to 162.15, 244.55 and 159.27

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Solution

The fourth proportional to 162.15, 244.55 and 159.27 is: 240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.15 : 244.55 = 159.27 : x
  2. Step 2: Convert to fraction form
    162.15/244.55 = 159.27/x
  3. Step 3: Cross multiply
    162.15x = 244.55 × 159.27
  4. Step 4: Simplify right side
    162.15x = 38,947.46
  5. Step 5: Solve for x
    x = 38,947.46/162.15
  6. Step 6: Final answer
    x = 240.20

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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.