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Finding the Fourth Proportional to 304.63, 456.70 and 142.43

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Solution

The fourth proportional to 304.63, 456.70 and 142.43 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.63 : 456.70 = 142.43 : x
  2. Step 2: Convert to fraction form
    304.63/456.70 = 142.43/x
  3. Step 3: Cross multiply
    304.63x = 456.70 × 142.43
  4. Step 4: Simplify right side
    304.63x = 65,047.78
  5. Step 5: Solve for x
    x = 65,047.78/304.63
  6. Step 6: Final answer
    x = 213.53

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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.