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Finding the Fourth Proportional to 304.55, 457.02 and 284.30

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Solution

The fourth proportional to 304.55, 457.02 and 284.30 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.55 : 457.02 = 284.30 : x
  2. Step 2: Convert to fraction form
    304.55/457.02 = 284.30/x
  3. Step 3: Cross multiply
    304.55x = 457.02 × 284.30
  4. Step 4: Simplify right side
    304.55x = 129,928.50
  5. Step 5: Solve for x
    x = 129,928.50/304.55
  6. Step 6: Final answer
    x = 426.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.