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Finding the Fourth Proportional to 406.15, 559.33 and 369.70

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Solution

The fourth proportional to 406.15, 559.33 and 369.70 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.15 : 559.33 = 369.70 : x
  2. Step 2: Convert to fraction form
    406.15/559.33 = 369.70/x
  3. Step 3: Cross multiply
    406.15x = 559.33 × 369.70
  4. Step 4: Simplify right side
    406.15x = 206,784.30
  5. Step 5: Solve for x
    x = 206,784.30/406.15
  6. Step 6: Final answer
    x = 509.13

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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.