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Finding the Fourth Proportional to 114.09, 156.98 and 111.05

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Solution

The fourth proportional to 114.09, 156.98 and 111.05 is: 152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 156.98 = 111.05 : x
  2. Step 2: Convert to fraction form
    114.09/156.98 = 111.05/x
  3. Step 3: Cross multiply
    114.09x = 156.98 × 111.05
  4. Step 4: Simplify right side
    114.09x = 17,432.07
  5. Step 5: Solve for x
    x = 17,432.07/114.09
  6. Step 6: Final answer
    x = 152.79

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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.