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Finding the Fourth Proportional to 302.94, 418.20 and 248.27

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Solution

The fourth proportional to 302.94, 418.20 and 248.27 is: 342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 418.20 = 248.27 : x
  2. Step 2: Convert to fraction form
    302.94/418.20 = 248.27/x
  3. Step 3: Cross multiply
    302.94x = 418.20 × 248.27
  4. Step 4: Simplify right side
    302.94x = 103,824.42
  5. Step 5: Solve for x
    x = 103,824.42/302.94
  6. Step 6: Final answer
    x = 342.72

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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.