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Finding the Fourth Proportional to 400.07, 596.60 and 396.42

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Solution

The fourth proportional to 400.07, 596.60 and 396.42 is: 591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.07 : 596.60 = 396.42 : x
  2. Step 2: Convert to fraction form
    400.07/596.60 = 396.42/x
  3. Step 3: Cross multiply
    400.07x = 596.60 × 396.42
  4. Step 4: Simplify right side
    400.07x = 236,502.19
  5. Step 5: Solve for x
    x = 236,502.19/400.07
  6. Step 6: Final answer
    x = 591.15

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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.