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Finding the Fourth Proportional to 179.90, 268.56 and 152.56

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Solution

The fourth proportional to 179.90, 268.56 and 152.56 is: 227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.90 : 268.56 = 152.56 : x
  2. Step 2: Convert to fraction form
    179.90/268.56 = 152.56/x
  3. Step 3: Cross multiply
    179.90x = 268.56 × 152.56
  4. Step 4: Simplify right side
    179.90x = 40,971.51
  5. Step 5: Solve for x
    x = 40,971.51/179.90
  6. Step 6: Final answer
    x = 227.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.