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Finding the Fourth Proportional to 130.03, 193.89 and 128.44

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Solution

The fourth proportional to 130.03, 193.89 and 128.44 is: 191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.03 : 193.89 = 128.44 : x
  2. Step 2: Convert to fraction form
    130.03/193.89 = 128.44/x
  3. Step 3: Cross multiply
    130.03x = 193.89 × 128.44
  4. Step 4: Simplify right side
    130.03x = 24,903.23
  5. Step 5: Solve for x
    x = 24,903.23/130.03
  6. Step 6: Final answer
    x = 191.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.