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Finding the Fourth Proportional to 302.42, 451 and 279.74

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Solution

The fourth proportional to 302.42, 451 and 279.74 is: 417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 451 = 279.74 : x
  2. Step 2: Convert to fraction form
    302.42/451 = 279.74/x
  3. Step 3: Cross multiply
    302.42x = 451 × 279.74
  4. Step 4: Simplify right side
    302.42x = 126,162.74
  5. Step 5: Solve for x
    x = 126,162.74/302.42
  6. Step 6: Final answer
    x = 417.18

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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.