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Finding the Fourth Proportional to 433.88, 599.03 and 278.90

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Solution

The fourth proportional to 433.88, 599.03 and 278.90 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.88 : 599.03 = 278.90 : x
  2. Step 2: Convert to fraction form
    433.88/599.03 = 278.90/x
  3. Step 3: Cross multiply
    433.88x = 599.03 × 278.90
  4. Step 4: Simplify right side
    433.88x = 167,065.08
  5. Step 5: Solve for x
    x = 167,065.08/433.88
  6. Step 6: Final answer
    x = 385.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.