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Finding the Fourth Proportional to 306.41, 456.26 and 302.04

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Solution

The fourth proportional to 306.41, 456.26 and 302.04 is: 449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 456.26 = 302.04 : x
  2. Step 2: Convert to fraction form
    306.41/456.26 = 302.04/x
  3. Step 3: Cross multiply
    306.41x = 456.26 × 302.04
  4. Step 4: Simplify right side
    306.41x = 137,807.26
  5. Step 5: Solve for x
    x = 137,807.26/306.41
  6. Step 6: Final answer
    x = 449.76

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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.