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Finding the Fourth Proportional to 289.41, 399.37 and 158.41

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Solution

The fourth proportional to 289.41, 399.37 and 158.41 is: 218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 399.37 = 158.41 : x
  2. Step 2: Convert to fraction form
    289.41/399.37 = 158.41/x
  3. Step 3: Cross multiply
    289.41x = 399.37 × 158.41
  4. Step 4: Simplify right side
    289.41x = 63,264.20
  5. Step 5: Solve for x
    x = 63,264.20/289.41
  6. Step 6: Final answer
    x = 218.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.