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Finding the Fourth Proportional to 459.70, 689.09 and 166.95

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Solution

The fourth proportional to 459.70, 689.09 and 166.95 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.70 : 689.09 = 166.95 : x
  2. Step 2: Convert to fraction form
    459.70/689.09 = 166.95/x
  3. Step 3: Cross multiply
    459.70x = 689.09 × 166.95
  4. Step 4: Simplify right side
    459.70x = 115,042.74
  5. Step 5: Solve for x
    x = 115,042.74/459.70
  6. Step 6: Final answer
    x = 250.26

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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.