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Finding the Fourth Proportional to 130.42, 194.90 and 106.40

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Solution

The fourth proportional to 130.42, 194.90 and 106.40 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.42 : 194.90 = 106.40 : x
  2. Step 2: Convert to fraction form
    130.42/194.90 = 106.40/x
  3. Step 3: Cross multiply
    130.42x = 194.90 × 106.40
  4. Step 4: Simplify right side
    130.42x = 20,737.36
  5. Step 5: Solve for x
    x = 20,737.36/130.42
  6. Step 6: Final answer
    x = 159.00

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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.