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Finding the Fourth Proportional to 399.96, 597.24 and 345.24

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Solution

The fourth proportional to 399.96, 597.24 and 345.24 is: 515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.96 : 597.24 = 345.24 : x
  2. Step 2: Convert to fraction form
    399.96/597.24 = 345.24/x
  3. Step 3: Cross multiply
    399.96x = 597.24 × 345.24
  4. Step 4: Simplify right side
    399.96x = 206,191.14
  5. Step 5: Solve for x
    x = 206,191.14/399.96
  6. Step 6: Final answer
    x = 515.53

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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.