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Finding the Fourth Proportional to 459.48, 689.37 and 167.06

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Solution

The fourth proportional to 459.48, 689.37 and 167.06 is: 250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 689.37 = 167.06 : x
  2. Step 2: Convert to fraction form
    459.48/689.37 = 167.06/x
  3. Step 3: Cross multiply
    459.48x = 689.37 × 167.06
  4. Step 4: Simplify right side
    459.48x = 115,167.25
  5. Step 5: Solve for x
    x = 115,167.25/459.48
  6. Step 6: Final answer
    x = 250.64

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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.