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Finding the Fourth Proportional to 303.14, 454.38 and 148.84

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Solution

The fourth proportional to 303.14, 454.38 and 148.84 is: 223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 454.38 = 148.84 : x
  2. Step 2: Convert to fraction form
    303.14/454.38 = 148.84/x
  3. Step 3: Cross multiply
    303.14x = 454.38 × 148.84
  4. Step 4: Simplify right side
    303.14x = 67,628.23
  5. Step 5: Solve for x
    x = 67,628.23/303.14
  6. Step 6: Final answer
    x = 223.09

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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.