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Finding the Fourth Proportional to 114.04, 156.43 and 111.31

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Solution

The fourth proportional to 114.04, 156.43 and 111.31 is: 152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.04 : 156.43 = 111.31 : x
  2. Step 2: Convert to fraction form
    114.04/156.43 = 111.31/x
  3. Step 3: Cross multiply
    114.04x = 156.43 × 111.31
  4. Step 4: Simplify right side
    114.04x = 17,411.97
  5. Step 5: Solve for x
    x = 17,411.97/114.04
  6. Step 6: Final answer
    x = 152.68

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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.