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Finding the Fourth Proportional to 216.14, 322.86 and 157.87

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Solution

The fourth proportional to 216.14, 322.86 and 157.87 is: 235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 322.86 = 157.87 : x
  2. Step 2: Convert to fraction form
    216.14/322.86 = 157.87/x
  3. Step 3: Cross multiply
    216.14x = 322.86 × 157.87
  4. Step 4: Simplify right side
    216.14x = 50,969.91
  5. Step 5: Solve for x
    x = 50,969.91/216.14
  6. Step 6: Final answer
    x = 235.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.