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Finding the Fourth Proportional to 289.71, 401.58 and 279.63

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Solution

The fourth proportional to 289.71, 401.58 and 279.63 is: 387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 401.58 = 279.63 : x
  2. Step 2: Convert to fraction form
    289.71/401.58 = 279.63/x
  3. Step 3: Cross multiply
    289.71x = 401.58 × 279.63
  4. Step 4: Simplify right side
    289.71x = 112,293.82
  5. Step 5: Solve for x
    x = 112,293.82/289.71
  6. Step 6: Final answer
    x = 387.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.