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Finding the Fourth Proportional to 303.99, 456.08 and 141.78

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Solution

The fourth proportional to 303.99, 456.08 and 141.78 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.99 : 456.08 = 141.78 : x
  2. Step 2: Convert to fraction form
    303.99/456.08 = 141.78/x
  3. Step 3: Cross multiply
    303.99x = 456.08 × 141.78
  4. Step 4: Simplify right side
    303.99x = 64,663.02
  5. Step 5: Solve for x
    x = 64,663.02/303.99
  6. Step 6: Final answer
    x = 212.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.