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Finding the Fourth Proportional to 302.78, 417.70 and 178.22

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Solution

The fourth proportional to 302.78, 417.70 and 178.22 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 417.70 = 178.22 : x
  2. Step 2: Convert to fraction form
    302.78/417.70 = 178.22/x
  3. Step 3: Cross multiply
    302.78x = 417.70 × 178.22
  4. Step 4: Simplify right side
    302.78x = 74,442.49
  5. Step 5: Solve for x
    x = 74,442.49/302.78
  6. Step 6: Final answer
    x = 245.86

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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.