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Finding the Fourth Proportional to 311.04, 464.40 and 280.80

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Solution

The fourth proportional to 311.04, 464.40 and 280.80 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.04 : 464.40 = 280.80 : x
  2. Step 2: Convert to fraction form
    311.04/464.40 = 280.80/x
  3. Step 3: Cross multiply
    311.04x = 464.40 × 280.80
  4. Step 4: Simplify right side
    311.04x = 130,403.52
  5. Step 5: Solve for x
    x = 130,403.52/311.04
  6. Step 6: Final answer
    x = 419.25

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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.