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Finding the Fourth Proportional to 303.76, 456.14 and 190.48

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Solution

The fourth proportional to 303.76, 456.14 and 190.48 is: 286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 456.14 = 190.48 : x
  2. Step 2: Convert to fraction form
    303.76/456.14 = 190.48/x
  3. Step 3: Cross multiply
    303.76x = 456.14 × 190.48
  4. Step 4: Simplify right side
    303.76x = 86,885.55
  5. Step 5: Solve for x
    x = 86,885.55/303.76
  6. Step 6: Final answer
    x = 286.03

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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.