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Finding the Fourth Proportional to 399.38, 598.43 and 284.05

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Solution

The fourth proportional to 399.38, 598.43 and 284.05 is: 425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.38 : 598.43 = 284.05 : x
  2. Step 2: Convert to fraction form
    399.38/598.43 = 284.05/x
  3. Step 3: Cross multiply
    399.38x = 598.43 × 284.05
  4. Step 4: Simplify right side
    399.38x = 169,987.67
  5. Step 5: Solve for x
    x = 169,987.67/399.38
  6. Step 6: Final answer
    x = 425.62

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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.