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Finding the Fourth Proportional to 130.93, 194.90 and 128.98

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Solution

The fourth proportional to 130.93, 194.90 and 128.98 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.93 : 194.90 = 128.98 : x
  2. Step 2: Convert to fraction form
    130.93/194.90 = 128.98/x
  3. Step 3: Cross multiply
    130.93x = 194.90 × 128.98
  4. Step 4: Simplify right side
    130.93x = 25,138.44
  5. Step 5: Solve for x
    x = 25,138.44/130.93
  6. Step 6: Final answer
    x = 192.00

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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.