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Finding the Fourth Proportional to 414.99, 575.37 and 390.15

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Solution

The fourth proportional to 414.99, 575.37 and 390.15 is: 540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.99 : 575.37 = 390.15 : x
  2. Step 2: Convert to fraction form
    414.99/575.37 = 390.15/x
  3. Step 3: Cross multiply
    414.99x = 575.37 × 390.15
  4. Step 4: Simplify right side
    414.99x = 224,480.61
  5. Step 5: Solve for x
    x = 224,480.61/414.99
  6. Step 6: Final answer
    x = 540.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.