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Finding the Fourth Proportional to 302.07, 417.78 and 269.27

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Solution

The fourth proportional to 302.07, 417.78 and 269.27 is: 372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.07 : 417.78 = 269.27 : x
  2. Step 2: Convert to fraction form
    302.07/417.78 = 269.27/x
  3. Step 3: Cross multiply
    302.07x = 417.78 × 269.27
  4. Step 4: Simplify right side
    302.07x = 112,493.53
  5. Step 5: Solve for x
    x = 112,493.53/302.07
  6. Step 6: Final answer
    x = 372.41

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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.