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Finding the Fourth Proportional to 395.82, 590.64 and 354.83

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Solution

The fourth proportional to 395.82, 590.64 and 354.83 is: 529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 590.64 = 354.83 : x
  2. Step 2: Convert to fraction form
    395.82/590.64 = 354.83/x
  3. Step 3: Cross multiply
    395.82x = 590.64 × 354.83
  4. Step 4: Simplify right side
    395.82x = 209,573.84
  5. Step 5: Solve for x
    x = 209,573.84/395.82
  6. Step 6: Final answer
    x = 529.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.