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Finding the Fourth Proportional to 280.01, 421.50 and 199.41

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Solution

The fourth proportional to 280.01, 421.50 and 199.41 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.01 : 421.50 = 199.41 : x
  2. Step 2: Convert to fraction form
    280.01/421.50 = 199.41/x
  3. Step 3: Cross multiply
    280.01x = 421.50 × 199.41
  4. Step 4: Simplify right side
    280.01x = 84,051.32
  5. Step 5: Solve for x
    x = 84,051.32/280.01
  6. Step 6: Final answer
    x = 300.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.