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Finding the Fourth Proportional to 423.93, 585.19 and 299.80

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Solution

The fourth proportional to 423.93, 585.19 and 299.80 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.93 : 585.19 = 299.80 : x
  2. Step 2: Convert to fraction form
    423.93/585.19 = 299.80/x
  3. Step 3: Cross multiply
    423.93x = 585.19 × 299.80
  4. Step 4: Simplify right side
    423.93x = 175,441.07
  5. Step 5: Solve for x
    x = 175,441.07/423.93
  6. Step 6: Final answer
    x = 413.84

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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.