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Finding the Fourth Proportional to 179.64, 270.89 and 152.92

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Solution

The fourth proportional to 179.64, 270.89 and 152.92 is: 230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.64 : 270.89 = 152.92 : x
  2. Step 2: Convert to fraction form
    179.64/270.89 = 152.92/x
  3. Step 3: Cross multiply
    179.64x = 270.89 × 152.92
  4. Step 4: Simplify right side
    179.64x = 41,424.50
  5. Step 5: Solve for x
    x = 41,424.50/179.64
  6. Step 6: Final answer
    x = 230.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.