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Finding the Fourth Proportional to 114.32, 157.71 and 83.22

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Solution

The fourth proportional to 114.32, 157.71 and 83.22 is: 114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 157.71 = 83.22 : x
  2. Step 2: Convert to fraction form
    114.32/157.71 = 83.22/x
  3. Step 3: Cross multiply
    114.32x = 157.71 × 83.22
  4. Step 4: Simplify right side
    114.32x = 13,124.21
  5. Step 5: Solve for x
    x = 13,124.21/114.32
  6. Step 6: Final answer
    x = 114.80

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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.