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Finding the Fourth Proportional to 399.01, 597.75 and 356.62

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Solution

The fourth proportional to 399.01, 597.75 and 356.62 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.01 : 597.75 = 356.62 : x
  2. Step 2: Convert to fraction form
    399.01/597.75 = 356.62/x
  3. Step 3: Cross multiply
    399.01x = 597.75 × 356.62
  4. Step 4: Simplify right side
    399.01x = 213,169.61
  5. Step 5: Solve for x
    x = 213,169.61/399.01
  6. Step 6: Final answer
    x = 534.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.