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Finding the Fourth Proportional to 289.90, 400.06 and 157.12

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Solution

The fourth proportional to 289.90, 400.06 and 157.12 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 400.06 = 157.12 : x
  2. Step 2: Convert to fraction form
    289.90/400.06 = 157.12/x
  3. Step 3: Cross multiply
    289.90x = 400.06 × 157.12
  4. Step 4: Simplify right side
    289.90x = 62,859.61
  5. Step 5: Solve for x
    x = 62,859.61/289.90
  6. Step 6: Final answer
    x = 216.83

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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.