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Finding the Fourth Proportional to 114.27, 156.80 and 111.21

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Solution

The fourth proportional to 114.27, 156.80 and 111.21 is: 152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.27 : 156.80 = 111.21 : x
  2. Step 2: Convert to fraction form
    114.27/156.80 = 111.21/x
  3. Step 3: Cross multiply
    114.27x = 156.80 × 111.21
  4. Step 4: Simplify right side
    114.27x = 17,437.17
  5. Step 5: Solve for x
    x = 17,437.17/114.27
  6. Step 6: Final answer
    x = 152.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.