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Finding the Fourth Proportional to 395.36, 590.20 and 364.88

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Solution

The fourth proportional to 395.36, 590.20 and 364.88 is: 544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.36 : 590.20 = 364.88 : x
  2. Step 2: Convert to fraction form
    395.36/590.20 = 364.88/x
  3. Step 3: Cross multiply
    395.36x = 590.20 × 364.88
  4. Step 4: Simplify right side
    395.36x = 215,352.18
  5. Step 5: Solve for x
    x = 215,352.18/395.36
  6. Step 6: Final answer
    x = 544.70

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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.