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Finding the Fourth Proportional to 114.06, 156.47 and 107.07

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Solution

The fourth proportional to 114.06, 156.47 and 107.07 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 156.47 = 107.07 : x
  2. Step 2: Convert to fraction form
    114.06/156.47 = 107.07/x
  3. Step 3: Cross multiply
    114.06x = 156.47 × 107.07
  4. Step 4: Simplify right side
    114.06x = 16,753.45
  5. Step 5: Solve for x
    x = 16,753.45/114.06
  6. Step 6: Final answer
    x = 146.89

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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.