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Finding the Fourth Proportional to 289.38, 431.15 and 270.76

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Solution

The fourth proportional to 289.38, 431.15 and 270.76 is: 403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 431.15 = 270.76 : x
  2. Step 2: Convert to fraction form
    289.38/431.15 = 270.76/x
  3. Step 3: Cross multiply
    289.38x = 431.15 × 270.76
  4. Step 4: Simplify right side
    289.38x = 116,738.17
  5. Step 5: Solve for x
    x = 116,738.17/289.38
  6. Step 6: Final answer
    x = 403.41

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