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Finding the Fourth Proportional to 399.82, 596.32 and 392.89

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Solution

The fourth proportional to 399.82, 596.32 and 392.89 is: 585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.82 : 596.32 = 392.89 : x
  2. Step 2: Convert to fraction form
    399.82/596.32 = 392.89/x
  3. Step 3: Cross multiply
    399.82x = 596.32 × 392.89
  4. Step 4: Simplify right side
    399.82x = 234,288.16
  5. Step 5: Solve for x
    x = 234,288.16/399.82
  6. Step 6: Final answer
    x = 585.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.