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Finding the Fourth Proportional to 393.20, 590.60 and 346.20

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Solution

The fourth proportional to 393.20, 590.60 and 346.20 is: 520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.20 : 590.60 = 346.20 : x
  2. Step 2: Convert to fraction form
    393.20/590.60 = 346.20/x
  3. Step 3: Cross multiply
    393.20x = 590.60 × 346.20
  4. Step 4: Simplify right side
    393.20x = 204,465.72
  5. Step 5: Solve for x
    x = 204,465.72/393.20
  6. Step 6: Final answer
    x = 520.00

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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.