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Finding the Fourth Proportional to 590.99, 815.41 and 351.68

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Solution

The fourth proportional to 590.99, 815.41 and 351.68 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.99 : 815.41 = 351.68 : x
  2. Step 2: Convert to fraction form
    590.99/815.41 = 351.68/x
  3. Step 3: Cross multiply
    590.99x = 815.41 × 351.68
  4. Step 4: Simplify right side
    590.99x = 286,764.55
  5. Step 5: Solve for x
    x = 286,764.55/590.99
  6. Step 6: Final answer
    x = 485.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.