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Finding the Fourth Proportional to 114.60, 155.76 and 114.60

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Solution

The fourth proportional to 114.60, 155.76 and 114.60 is: 155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.60 : 155.76 = 114.60 : x
  2. Step 2: Convert to fraction form
    114.60/155.76 = 114.60/x
  3. Step 3: Cross multiply
    114.60x = 155.76 × 114.60
  4. Step 4: Simplify right side
    114.60x = 17,850.10
  5. Step 5: Solve for x
    x = 17,850.10/114.60
  6. Step 6: Final answer
    x = 155.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.