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Finding the Fourth Proportional to 302.78, 417.80 and 178.43

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Solution

The fourth proportional to 302.78, 417.80 and 178.43 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 417.80 = 178.43 : x
  2. Step 2: Convert to fraction form
    302.78/417.80 = 178.43/x
  3. Step 3: Cross multiply
    302.78x = 417.80 × 178.43
  4. Step 4: Simplify right side
    302.78x = 74,545.07
  5. Step 5: Solve for x
    x = 74,545.07/302.78
  6. Step 6: Final answer
    x = 246.21

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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.