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Finding the Fourth Proportional to 215.90, 298.14 and 157.23

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Solution

The fourth proportional to 215.90, 298.14 and 157.23 is: 217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 298.14 = 157.23 : x
  2. Step 2: Convert to fraction form
    215.90/298.14 = 157.23/x
  3. Step 3: Cross multiply
    215.90x = 298.14 × 157.23
  4. Step 4: Simplify right side
    215.90x = 46,876.55
  5. Step 5: Solve for x
    x = 46,876.55/215.90
  6. Step 6: Final answer
    x = 217.12

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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.