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Finding the Fourth Proportional to 303.72, 452.88 and 280.08

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Solution

The fourth proportional to 303.72, 452.88 and 280.08 is: 417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 452.88 = 280.08 : x
  2. Step 2: Convert to fraction form
    303.72/452.88 = 280.08/x
  3. Step 3: Cross multiply
    303.72x = 452.88 × 280.08
  4. Step 4: Simplify right side
    303.72x = 126,842.63
  5. Step 5: Solve for x
    x = 126,842.63/303.72
  6. Step 6: Final answer
    x = 417.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.