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Finding the Fourth Proportional to 128.99, 177.45 and 116.57

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Solution

The fourth proportional to 128.99, 177.45 and 116.57 is: 160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.99 : 177.45 = 116.57 : x
  2. Step 2: Convert to fraction form
    128.99/177.45 = 116.57/x
  3. Step 3: Cross multiply
    128.99x = 177.45 × 116.57
  4. Step 4: Simplify right side
    128.99x = 20,685.35
  5. Step 5: Solve for x
    x = 20,685.35/128.99
  6. Step 6: Final answer
    x = 160.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.