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Finding the Fourth Proportional to 399.67, 595.91 and 392.38

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Solution

The fourth proportional to 399.67, 595.91 and 392.38 is: 585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 595.91 = 392.38 : x
  2. Step 2: Convert to fraction form
    399.67/595.91 = 392.38/x
  3. Step 3: Cross multiply
    399.67x = 595.91 × 392.38
  4. Step 4: Simplify right side
    399.67x = 233,820.19
  5. Step 5: Solve for x
    x = 233,820.19/399.67
  6. Step 6: Final answer
    x = 585.04

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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.