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Finding the Fourth Proportional to 280.99, 419.56 and 229.05

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Solution

The fourth proportional to 280.99, 419.56 and 229.05 is: 342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.99 : 419.56 = 229.05 : x
  2. Step 2: Convert to fraction form
    280.99/419.56 = 229.05/x
  3. Step 3: Cross multiply
    280.99x = 419.56 × 229.05
  4. Step 4: Simplify right side
    280.99x = 96,100.22
  5. Step 5: Solve for x
    x = 96,100.22/280.99
  6. Step 6: Final answer
    x = 342.01

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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.