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Finding the Fourth Proportional to 289.49, 399.49 and 158.49

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Solution

The fourth proportional to 289.49, 399.49 and 158.49 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 399.49 = 158.49 : x
  2. Step 2: Convert to fraction form
    289.49/399.49 = 158.49/x
  3. Step 3: Cross multiply
    289.49x = 399.49 × 158.49
  4. Step 4: Simplify right side
    289.49x = 63,315.17
  5. Step 5: Solve for x
    x = 63,315.17/289.49
  6. Step 6: Final answer
    x = 218.72

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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.