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Finding the Fourth Proportional to 459.64, 689.66 and 199.60

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Solution

The fourth proportional to 459.64, 689.66 and 199.60 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.64 : 689.66 = 199.60 : x
  2. Step 2: Convert to fraction form
    459.64/689.66 = 199.60/x
  3. Step 3: Cross multiply
    459.64x = 689.66 × 199.60
  4. Step 4: Simplify right side
    459.64x = 137,656.14
  5. Step 5: Solve for x
    x = 137,656.14/459.64
  6. Step 6: Final answer
    x = 299.49

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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.