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Finding the Fourth Proportional to 302.86, 417.83 and 178.49

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Solution

The fourth proportional to 302.86, 417.83 and 178.49 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.86 : 417.83 = 178.49 : x
  2. Step 2: Convert to fraction form
    302.86/417.83 = 178.49/x
  3. Step 3: Cross multiply
    302.86x = 417.83 × 178.49
  4. Step 4: Simplify right side
    302.86x = 74,578.48
  5. Step 5: Solve for x
    x = 74,578.48/302.86
  6. Step 6: Final answer
    x = 246.25

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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.