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Finding the Fourth Proportional to 395.72, 594.10 and 304.49

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Solution

The fourth proportional to 395.72, 594.10 and 304.49 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 594.10 = 304.49 : x
  2. Step 2: Convert to fraction form
    395.72/594.10 = 304.49/x
  3. Step 3: Cross multiply
    395.72x = 594.10 × 304.49
  4. Step 4: Simplify right side
    395.72x = 180,893.78
  5. Step 5: Solve for x
    x = 180,893.78/395.72
  6. Step 6: Final answer
    x = 457.12

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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.