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Finding the Fourth Proportional to 399.35, 595.45 and 392.06

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Solution

The fourth proportional to 399.35, 595.45 and 392.06 is: 584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 595.45 = 392.06 : x
  2. Step 2: Convert to fraction form
    399.35/595.45 = 392.06/x
  3. Step 3: Cross multiply
    399.35x = 595.45 × 392.06
  4. Step 4: Simplify right side
    399.35x = 233,451.90
  5. Step 5: Solve for x
    x = 233,451.90/399.35
  6. Step 6: Final answer
    x = 584.58

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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.