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Finding the Fourth Proportional to 459.74, 689.36 and 167.22

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Solution

The fourth proportional to 459.74, 689.36 and 167.22 is: 250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 689.36 = 167.22 : x
  2. Step 2: Convert to fraction form
    459.74/689.36 = 167.22/x
  3. Step 3: Cross multiply
    459.74x = 689.36 × 167.22
  4. Step 4: Simplify right side
    459.74x = 115,274.78
  5. Step 5: Solve for x
    x = 115,274.78/459.74
  6. Step 6: Final answer
    x = 250.74

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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.