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Finding the Fourth Proportional to 399.46, 599.58 and 255.28

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Solution

The fourth proportional to 399.46, 599.58 and 255.28 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.46 : 599.58 = 255.28 : x
  2. Step 2: Convert to fraction form
    399.46/599.58 = 255.28/x
  3. Step 3: Cross multiply
    399.46x = 599.58 × 255.28
  4. Step 4: Simplify right side
    399.46x = 153,060.78
  5. Step 5: Solve for x
    x = 153,060.78/399.46
  6. Step 6: Final answer
    x = 383.17

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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.