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Finding the Fourth Proportional to 114.02, 156.45 and 110.96

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Solution

The fourth proportional to 114.02, 156.45 and 110.96 is: 152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.02 : 156.45 = 110.96 : x
  2. Step 2: Convert to fraction form
    114.02/156.45 = 110.96/x
  3. Step 3: Cross multiply
    114.02x = 156.45 × 110.96
  4. Step 4: Simplify right side
    114.02x = 17,359.69
  5. Step 5: Solve for x
    x = 17,359.69/114.02
  6. Step 6: Final answer
    x = 152.25

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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.