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Finding the Fourth Proportional to 306.80, 457.30 and 304.41

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Solution

The fourth proportional to 306.80, 457.30 and 304.41 is: 453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.80 : 457.30 = 304.41 : x
  2. Step 2: Convert to fraction form
    306.80/457.30 = 304.41/x
  3. Step 3: Cross multiply
    306.80x = 457.30 × 304.41
  4. Step 4: Simplify right side
    306.80x = 139,206.69
  5. Step 5: Solve for x
    x = 139,206.69/306.80
  6. Step 6: Final answer
    x = 453.74

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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.