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Finding the Fourth Proportional to 302.99, 418.13 and 178.68

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Solution

The fourth proportional to 302.99, 418.13 and 178.68 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.99 : 418.13 = 178.68 : x
  2. Step 2: Convert to fraction form
    302.99/418.13 = 178.68/x
  3. Step 3: Cross multiply
    302.99x = 418.13 × 178.68
  4. Step 4: Simplify right side
    302.99x = 74,710.58
  5. Step 5: Solve for x
    x = 74,710.58/302.99
  6. Step 6: Final answer
    x = 246.58

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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.