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Finding the Fourth Proportional to 216.31, 298.71 and 157.99

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Solution

The fourth proportional to 216.31, 298.71 and 157.99 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.31 : 298.71 = 157.99 : x
  2. Step 2: Convert to fraction form
    216.31/298.71 = 157.99/x
  3. Step 3: Cross multiply
    216.31x = 298.71 × 157.99
  4. Step 4: Simplify right side
    216.31x = 47,193.19
  5. Step 5: Solve for x
    x = 47,193.19/216.31
  6. Step 6: Final answer
    x = 218.17

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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.