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Finding the Fourth Proportional to 289.58, 401.30 and 284.10

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Solution

The fourth proportional to 289.58, 401.30 and 284.10 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.58 : 401.30 = 284.10 : x
  2. Step 2: Convert to fraction form
    289.58/401.30 = 284.10/x
  3. Step 3: Cross multiply
    289.58x = 401.30 × 284.10
  4. Step 4: Simplify right side
    289.58x = 114,007.91
  5. Step 5: Solve for x
    x = 114,007.91/289.58
  6. Step 6: Final answer
    x = 393.71

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Why These Related Problems?

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