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Finding the Fourth Proportional to 459.19, 689.06 and 199.14

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Solution

The fourth proportional to 459.19, 689.06 and 199.14 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.19 : 689.06 = 199.14 : x
  2. Step 2: Convert to fraction form
    459.19/689.06 = 199.14/x
  3. Step 3: Cross multiply
    459.19x = 689.06 × 199.14
  4. Step 4: Simplify right side
    459.19x = 137,220.08
  5. Step 5: Solve for x
    x = 137,220.08/459.19
  6. Step 6: Final answer
    x = 298.83

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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.