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Finding the Fourth Proportional to 395.10, 590.06 and 348.39

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Solution

The fourth proportional to 395.10, 590.06 and 348.39 is: 520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.10 : 590.06 = 348.39 : x
  2. Step 2: Convert to fraction form
    395.10/590.06 = 348.39/x
  3. Step 3: Cross multiply
    395.10x = 590.06 × 348.39
  4. Step 4: Simplify right side
    395.10x = 205,571.87
  5. Step 5: Solve for x
    x = 205,571.87/395.10
  6. Step 6: Final answer
    x = 520.30

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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.