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Finding the Fourth Proportional to 128.36, 192.70 and 101.02

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Solution

The fourth proportional to 128.36, 192.70 and 101.02 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.36 : 192.70 = 101.02 : x
  2. Step 2: Convert to fraction form
    128.36/192.70 = 101.02/x
  3. Step 3: Cross multiply
    128.36x = 192.70 × 101.02
  4. Step 4: Simplify right side
    128.36x = 19,466.55
  5. Step 5: Solve for x
    x = 19,466.55/128.36
  6. Step 6: Final answer
    x = 151.66

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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.