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Finding the Fourth Proportional to 164.20, 244.61 and 159.16

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Solution

The fourth proportional to 164.20, 244.61 and 159.16 is: 237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.20 : 244.61 = 159.16 : x
  2. Step 2: Convert to fraction form
    164.20/244.61 = 159.16/x
  3. Step 3: Cross multiply
    164.20x = 244.61 × 159.16
  4. Step 4: Simplify right side
    164.20x = 38,932.13
  5. Step 5: Solve for x
    x = 38,932.13/164.20
  6. Step 6: Final answer
    x = 237.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.