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Finding the Fourth Proportional to 289.90, 434.70 and 166.48

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Solution

The fourth proportional to 289.90, 434.70 and 166.48 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 434.70 = 166.48 : x
  2. Step 2: Convert to fraction form
    289.90/434.70 = 166.48/x
  3. Step 3: Cross multiply
    289.90x = 434.70 × 166.48
  4. Step 4: Simplify right side
    289.90x = 72,368.86
  5. Step 5: Solve for x
    x = 72,368.86/289.90
  6. Step 6: Final answer
    x = 249.64

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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.