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Finding the Fourth Proportional to 158.80, 219.22 and 117.36

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Solution

The fourth proportional to 158.80, 219.22 and 117.36 is: 162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.80 : 219.22 = 117.36 : x
  2. Step 2: Convert to fraction form
    158.80/219.22 = 117.36/x
  3. Step 3: Cross multiply
    158.80x = 219.22 × 117.36
  4. Step 4: Simplify right side
    158.80x = 25,727.66
  5. Step 5: Solve for x
    x = 25,727.66/158.80
  6. Step 6: Final answer
    x = 162.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.