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Finding the Fourth Proportional to 159.34, 219.72 and 107.50

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Solution

The fourth proportional to 159.34, 219.72 and 107.50 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.34 : 219.72 = 107.50 : x
  2. Step 2: Convert to fraction form
    159.34/219.72 = 107.50/x
  3. Step 3: Cross multiply
    159.34x = 219.72 × 107.50
  4. Step 4: Simplify right side
    159.34x = 23,619.90
  5. Step 5: Solve for x
    x = 23,619.90/159.34
  6. Step 6: Final answer
    x = 148.24

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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.