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Finding the Fourth Proportional to 280.10, 419.46 and 231.05

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Solution

The fourth proportional to 280.10, 419.46 and 231.05 is: 346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.10 : 419.46 = 231.05 : x
  2. Step 2: Convert to fraction form
    280.10/419.46 = 231.05/x
  3. Step 3: Cross multiply
    280.10x = 419.46 × 231.05
  4. Step 4: Simplify right side
    280.10x = 96,913.27
  5. Step 5: Solve for x
    x = 96,913.27/280.10
  6. Step 6: Final answer
    x = 346.00

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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.