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Finding the Fourth Proportional to 114.39, 172.47 and 96.57

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Solution

The fourth proportional to 114.39, 172.47 and 96.57 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.39 : 172.47 = 96.57 : x
  2. Step 2: Convert to fraction form
    114.39/172.47 = 96.57/x
  3. Step 3: Cross multiply
    114.39x = 172.47 × 96.57
  4. Step 4: Simplify right side
    114.39x = 16,655.79
  5. Step 5: Solve for x
    x = 16,655.79/114.39
  6. Step 6: Final answer
    x = 145.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.