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Finding the Fourth Proportional to 459.56, 689.00 and 199.55

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Solution

The fourth proportional to 459.56, 689.00 and 199.55 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 689.00 = 199.55 : x
  2. Step 2: Convert to fraction form
    459.56/689.00 = 199.55/x
  3. Step 3: Cross multiply
    459.56x = 689.00 × 199.55
  4. Step 4: Simplify right side
    459.56x = 137,485.51
  5. Step 5: Solve for x
    x = 137,485.51/459.56
  6. Step 6: Final answer
    x = 299.17

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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.