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Finding the Fourth Proportional to 128.40, 193.48 and 116.25

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Solution

The fourth proportional to 128.40, 193.48 and 116.25 is: 175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.40 : 193.48 = 116.25 : x
  2. Step 2: Convert to fraction form
    128.40/193.48 = 116.25/x
  3. Step 3: Cross multiply
    128.40x = 193.48 × 116.25
  4. Step 4: Simplify right side
    128.40x = 22,491.69
  5. Step 5: Solve for x
    x = 22,491.69/128.40
  6. Step 6: Final answer
    x = 175.17

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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.