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Finding the Fourth Proportional to 289.14, 432.78 and 228.39

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Solution

The fourth proportional to 289.14, 432.78 and 228.39 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 432.78 = 228.39 : x
  2. Step 2: Convert to fraction form
    289.14/432.78 = 228.39/x
  3. Step 3: Cross multiply
    289.14x = 432.78 × 228.39
  4. Step 4: Simplify right side
    289.14x = 98,842.62
  5. Step 5: Solve for x
    x = 98,842.62/289.14
  6. Step 6: Final answer
    x = 341.85

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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.