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Finding the Fourth Proportional to 395.98, 590.01 and 352.87

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Solution

The fourth proportional to 395.98, 590.01 and 352.87 is: 525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 590.01 = 352.87 : x
  2. Step 2: Convert to fraction form
    395.98/590.01 = 352.87/x
  3. Step 3: Cross multiply
    395.98x = 590.01 × 352.87
  4. Step 4: Simplify right side
    395.98x = 208,196.83
  5. Step 5: Solve for x
    x = 208,196.83/395.98
  6. Step 6: Final answer
    x = 525.78

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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.