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Finding the Fourth Proportional to 158.91, 219.16 and 109.10

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Solution

The fourth proportional to 158.91, 219.16 and 109.10 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.91 : 219.16 = 109.10 : x
  2. Step 2: Convert to fraction form
    158.91/219.16 = 109.10/x
  3. Step 3: Cross multiply
    158.91x = 219.16 × 109.10
  4. Step 4: Simplify right side
    158.91x = 23,909.19
  5. Step 5: Solve for x
    x = 23,909.19/158.91
  6. Step 6: Final answer
    x = 150.46

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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.