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Finding the Fourth Proportional to 302.56, 451.96 and 275.22

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Solution

The fourth proportional to 302.56, 451.96 and 275.22 is: 411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 451.96 = 275.22 : x
  2. Step 2: Convert to fraction form
    302.56/451.96 = 275.22/x
  3. Step 3: Cross multiply
    302.56x = 451.96 × 275.22
  4. Step 4: Simplify right side
    302.56x = 124,387.74
  5. Step 5: Solve for x
    x = 124,387.74/302.56
  6. Step 6: Final answer
    x = 411.12

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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.