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Finding the Fourth Proportional to 399.49, 598.66 and 284.16

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Solution

The fourth proportional to 399.49, 598.66 and 284.16 is: 425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.49 : 598.66 = 284.16 : x
  2. Step 2: Convert to fraction form
    399.49/598.66 = 284.16/x
  3. Step 3: Cross multiply
    399.49x = 598.66 × 284.16
  4. Step 4: Simplify right side
    399.49x = 170,115.23
  5. Step 5: Solve for x
    x = 170,115.23/399.49
  6. Step 6: Final answer
    x = 425.83

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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.