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Finding the Fourth Proportional to 459.69, 689.53 and 167.40

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Solution

The fourth proportional to 459.69, 689.53 and 167.40 is: 251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.69 : 689.53 = 167.40 : x
  2. Step 2: Convert to fraction form
    459.69/689.53 = 167.40/x
  3. Step 3: Cross multiply
    459.69x = 689.53 × 167.40
  4. Step 4: Simplify right side
    459.69x = 115,427.32
  5. Step 5: Solve for x
    x = 115,427.32/459.69
  6. Step 6: Final answer
    x = 251.10

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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.