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Finding the Fourth Proportional to 302.63, 451.75 and 280.08

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Solution

The fourth proportional to 302.63, 451.75 and 280.08 is: 418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.63 : 451.75 = 280.08 : x
  2. Step 2: Convert to fraction form
    302.63/451.75 = 280.08/x
  3. Step 3: Cross multiply
    302.63x = 451.75 × 280.08
  4. Step 4: Simplify right side
    302.63x = 126,526.14
  5. Step 5: Solve for x
    x = 126,526.14/302.63
  6. Step 6: Final answer
    x = 418.09

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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.