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Finding the Fourth Proportional to 395.83, 593.25 and 304.87

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Solution

The fourth proportional to 395.83, 593.25 and 304.87 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.83 : 593.25 = 304.87 : x
  2. Step 2: Convert to fraction form
    395.83/593.25 = 304.87/x
  3. Step 3: Cross multiply
    395.83x = 593.25 × 304.87
  4. Step 4: Simplify right side
    395.83x = 180,864.13
  5. Step 5: Solve for x
    x = 180,864.13/395.83
  6. Step 6: Final answer
    x = 456.92

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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.