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Finding the Fourth Proportional to 114.69, 172.04 and 63.32

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Solution

The fourth proportional to 114.69, 172.04 and 63.32 is: 94.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.69 : 172.04 = 63.32 : x
  2. Step 2: Convert to fraction form
    114.69/172.04 = 63.32/x
  3. Step 3: Cross multiply
    114.69x = 172.04 × 63.32
  4. Step 4: Simplify right side
    114.69x = 10,893.69
  5. Step 5: Solve for x
    x = 10,893.69/114.69
  6. Step 6: Final answer
    x = 94.98

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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.