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Finding the Fourth Proportional to 289.26, 434.10 and 167.40

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Solution

The fourth proportional to 289.26, 434.10 and 167.40 is: 251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 434.10 = 167.40 : x
  2. Step 2: Convert to fraction form
    289.26/434.10 = 167.40/x
  3. Step 3: Cross multiply
    289.26x = 434.10 × 167.40
  4. Step 4: Simplify right side
    289.26x = 72,668.34
  5. Step 5: Solve for x
    x = 72,668.34/289.26
  6. Step 6: Final answer
    x = 251.22

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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.