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Finding the Fourth Proportional to 304.56, 457.38 and 289.98

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Solution

The fourth proportional to 304.56, 457.38 and 289.98 is: 435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 457.38 = 289.98 : x
  2. Step 2: Convert to fraction form
    304.56/457.38 = 289.98/x
  3. Step 3: Cross multiply
    304.56x = 457.38 × 289.98
  4. Step 4: Simplify right side
    304.56x = 132,631.05
  5. Step 5: Solve for x
    x = 132,631.05/304.56
  6. Step 6: Final answer
    x = 435.48

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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.