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Finding the Fourth Proportional to 114.60, 172.16 and 99.75

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Solution

The fourth proportional to 114.60, 172.16 and 99.75 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.60 : 172.16 = 99.75 : x
  2. Step 2: Convert to fraction form
    114.60/172.16 = 99.75/x
  3. Step 3: Cross multiply
    114.60x = 172.16 × 99.75
  4. Step 4: Simplify right side
    114.60x = 17,172.51
  5. Step 5: Solve for x
    x = 17,172.51/114.60
  6. Step 6: Final answer
    x = 149.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.