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Finding the Fourth Proportional to 303.28, 417.72 and 280.20

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Solution

The fourth proportional to 303.28, 417.72 and 280.20 is: 385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.28 : 417.72 = 280.20 : x
  2. Step 2: Convert to fraction form
    303.28/417.72 = 280.20/x
  3. Step 3: Cross multiply
    303.28x = 417.72 × 280.20
  4. Step 4: Simplify right side
    303.28x = 117,045.14
  5. Step 5: Solve for x
    x = 117,045.14/303.28
  6. Step 6: Final answer
    x = 385.93

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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.