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Finding the Fourth Proportional to 306.83, 457.29 and 304.28

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Solution

The fourth proportional to 306.83, 457.29 and 304.28 is: 453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.83 : 457.29 = 304.28 : x
  2. Step 2: Convert to fraction form
    306.83/457.29 = 304.28/x
  3. Step 3: Cross multiply
    306.83x = 457.29 × 304.28
  4. Step 4: Simplify right side
    306.83x = 139,144.20
  5. Step 5: Solve for x
    x = 139,144.20/306.83
  6. Step 6: Final answer
    x = 453.49

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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.