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Finding the Fourth Proportional to 289.45, 399.45 and 158.47

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Solution

The fourth proportional to 289.45, 399.45 and 158.47 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.45 : 399.45 = 158.47 : x
  2. Step 2: Convert to fraction form
    289.45/399.45 = 158.47/x
  3. Step 3: Cross multiply
    289.45x = 399.45 × 158.47
  4. Step 4: Simplify right side
    289.45x = 63,300.84
  5. Step 5: Solve for x
    x = 63,300.84/289.45
  6. Step 6: Final answer
    x = 218.69

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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.