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Finding the Fourth Proportional to 800.19, 1,199.98 and 280.06

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Solution

The fourth proportional to 800.19, 1,199.98 and 280.06 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.19 : 1,199.98 = 280.06 : x
  2. Step 2: Convert to fraction form
    800.19/1,199.98 = 280.06/x
  3. Step 3: Cross multiply
    800.19x = 1,199.98 × 280.06
  4. Step 4: Simplify right side
    800.19x = 336,066.40
  5. Step 5: Solve for x
    x = 336,066.40/800.19
  6. Step 6: Final answer
    x = 419.98

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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.