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Finding the Fourth Proportional to 303.42, 418.71 and 179.10

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Solution

The fourth proportional to 303.42, 418.71 and 179.10 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 418.71 = 179.10 : x
  2. Step 2: Convert to fraction form
    303.42/418.71 = 179.10/x
  3. Step 3: Cross multiply
    303.42x = 418.71 × 179.10
  4. Step 4: Simplify right side
    303.42x = 74,990.96
  5. Step 5: Solve for x
    x = 74,990.96/303.42
  6. Step 6: Final answer
    x = 247.15

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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.