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Finding the Fourth Proportional to 114.50, 156.77 and 114.09

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Solution

The fourth proportional to 114.50, 156.77 and 114.09 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.50 : 156.77 = 114.09 : x
  2. Step 2: Convert to fraction form
    114.50/156.77 = 114.09/x
  3. Step 3: Cross multiply
    114.50x = 156.77 × 114.09
  4. Step 4: Simplify right side
    114.50x = 17,885.32
  5. Step 5: Solve for x
    x = 17,885.32/114.50
  6. Step 6: Final answer
    x = 156.21

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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.