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Finding the Fourth Proportional to 289.46, 432.23 and 254.95

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Solution

The fourth proportional to 289.46, 432.23 and 254.95 is: 380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.46 : 432.23 = 254.95 : x
  2. Step 2: Convert to fraction form
    289.46/432.23 = 254.95/x
  3. Step 3: Cross multiply
    289.46x = 432.23 × 254.95
  4. Step 4: Simplify right side
    289.46x = 110,194.68
  5. Step 5: Solve for x
    x = 110,194.68/289.46
  6. Step 6: Final answer
    x = 380.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.