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Finding the Fourth Proportional to 399.56, 599.49 and 278.01

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Solution

The fourth proportional to 399.56, 599.49 and 278.01 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.56 : 599.49 = 278.01 : x
  2. Step 2: Convert to fraction form
    399.56/599.49 = 278.01/x
  3. Step 3: Cross multiply
    399.56x = 599.49 × 278.01
  4. Step 4: Simplify right side
    399.56x = 166,664.21
  5. Step 5: Solve for x
    x = 166,664.21/399.56
  6. Step 6: Final answer
    x = 417.12

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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.