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Finding the Fourth Proportional to 303.57, 418.79 and 187.20

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Solution

The fourth proportional to 303.57, 418.79 and 187.20 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.57 : 418.79 = 187.20 : x
  2. Step 2: Convert to fraction form
    303.57/418.79 = 187.20/x
  3. Step 3: Cross multiply
    303.57x = 418.79 × 187.20
  4. Step 4: Simplify right side
    303.57x = 78,396.55
  5. Step 5: Solve for x
    x = 78,396.55/303.57
  6. Step 6: Final answer
    x = 258.25

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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.