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Finding the Fourth Proportional to 459.89, 689.61 and 167.18

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Solution

The fourth proportional to 459.89, 689.61 and 167.18 is: 250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.89 : 689.61 = 167.18 : x
  2. Step 2: Convert to fraction form
    459.89/689.61 = 167.18/x
  3. Step 3: Cross multiply
    459.89x = 689.61 × 167.18
  4. Step 4: Simplify right side
    459.89x = 115,288.94
  5. Step 5: Solve for x
    x = 115,288.94/459.89
  6. Step 6: Final answer
    x = 250.69

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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.