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Finding the Fourth Proportional to 128.85, 193.29 and 101.76

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Solution

The fourth proportional to 128.85, 193.29 and 101.76 is: 152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.85 : 193.29 = 101.76 : x
  2. Step 2: Convert to fraction form
    128.85/193.29 = 101.76/x
  3. Step 3: Cross multiply
    128.85x = 193.29 × 101.76
  4. Step 4: Simplify right side
    128.85x = 19,669.19
  5. Step 5: Solve for x
    x = 19,669.19/128.85
  6. Step 6: Final answer
    x = 152.65

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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.