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Finding the Fourth Proportional to 400.07, 596.54 and 399.30

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Solution

The fourth proportional to 400.07, 596.54 and 399.30 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.07 : 596.54 = 399.30 : x
  2. Step 2: Convert to fraction form
    400.07/596.54 = 399.30/x
  3. Step 3: Cross multiply
    400.07x = 596.54 × 399.30
  4. Step 4: Simplify right side
    400.07x = 238,196.43
  5. Step 5: Solve for x
    x = 238,196.43/400.07
  6. Step 6: Final answer
    x = 595.39

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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.