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Finding the Fourth Proportional to 302.13, 451 and 279.59

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Solution

The fourth proportional to 302.13, 451 and 279.59 is: 417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 451 = 279.59 : x
  2. Step 2: Convert to fraction form
    302.13/451 = 279.59/x
  3. Step 3: Cross multiply
    302.13x = 451 × 279.59
  4. Step 4: Simplify right side
    302.13x = 126,092.84
  5. Step 5: Solve for x
    x = 126,092.84/302.13
  6. Step 6: Final answer
    x = 417.35

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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.