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Finding the Fourth Proportional to 399.24, 597.99 and 254.25

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Solution

The fourth proportional to 399.24, 597.99 and 254.25 is: 380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.24 : 597.99 = 254.25 : x
  2. Step 2: Convert to fraction form
    399.24/597.99 = 254.25/x
  3. Step 3: Cross multiply
    399.24x = 597.99 × 254.25
  4. Step 4: Simplify right side
    399.24x = 152,038.96
  5. Step 5: Solve for x
    x = 152,038.96/399.24
  6. Step 6: Final answer
    x = 380.82

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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.