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Finding the Fourth Proportional to 302.56, 451.52 and 294.88

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Solution

The fourth proportional to 302.56, 451.52 and 294.88 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 451.52 = 294.88 : x
  2. Step 2: Convert to fraction form
    302.56/451.52 = 294.88/x
  3. Step 3: Cross multiply
    302.56x = 451.52 × 294.88
  4. Step 4: Simplify right side
    302.56x = 133,144.22
  5. Step 5: Solve for x
    x = 133,144.22/302.56
  6. Step 6: Final answer
    x = 440.06

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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.