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Finding the Fourth Proportional to 303.18, 415.17 and 286.53

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Solution

The fourth proportional to 303.18, 415.17 and 286.53 is: 392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.18 : 415.17 = 286.53 : x
  2. Step 2: Convert to fraction form
    303.18/415.17 = 286.53/x
  3. Step 3: Cross multiply
    303.18x = 415.17 × 286.53
  4. Step 4: Simplify right side
    303.18x = 118,958.66
  5. Step 5: Solve for x
    x = 118,958.66/303.18
  6. Step 6: Final answer
    x = 392.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.