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Finding the Fourth Proportional to 179.16, 268.56 and 70.86

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Solution

The fourth proportional to 179.16, 268.56 and 70.86 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.16 : 268.56 = 70.86 : x
  2. Step 2: Convert to fraction form
    179.16/268.56 = 70.86/x
  3. Step 3: Cross multiply
    179.16x = 268.56 × 70.86
  4. Step 4: Simplify right side
    179.16x = 19,030.16
  5. Step 5: Solve for x
    x = 19,030.16/179.16
  6. Step 6: Final answer
    x = 106.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.