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Finding the Fourth Proportional to 289.65, 434.86 and 172.74

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Solution

The fourth proportional to 289.65, 434.86 and 172.74 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.65 : 434.86 = 172.74 : x
  2. Step 2: Convert to fraction form
    289.65/434.86 = 172.74/x
  3. Step 3: Cross multiply
    289.65x = 434.86 × 172.74
  4. Step 4: Simplify right side
    289.65x = 75,116.30
  5. Step 5: Solve for x
    x = 75,116.30/289.65
  6. Step 6: Final answer
    x = 259.33

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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.