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Finding the Fourth Proportional to 459.22, 688.86 and 199.28

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Solution

The fourth proportional to 459.22, 688.86 and 199.28 is: 298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.22 : 688.86 = 199.28 : x
  2. Step 2: Convert to fraction form
    459.22/688.86 = 199.28/x
  3. Step 3: Cross multiply
    459.22x = 688.86 × 199.28
  4. Step 4: Simplify right side
    459.22x = 137,276.02
  5. Step 5: Solve for x
    x = 137,276.02/459.22
  6. Step 6: Final answer
    x = 298.93

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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.