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Finding the Fourth Proportional to 302.37, 451.38 and 279.83

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Solution

The fourth proportional to 302.37, 451.38 and 279.83 is: 417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.37 : 451.38 = 279.83 : x
  2. Step 2: Convert to fraction form
    302.37/451.38 = 279.83/x
  3. Step 3: Cross multiply
    302.37x = 451.38 × 279.83
  4. Step 4: Simplify right side
    302.37x = 126,306.01
  5. Step 5: Solve for x
    x = 126,306.01/302.37
  6. Step 6: Final answer
    x = 417.72

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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.