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Finding the Fourth Proportional to 130.88, 180.34 and 107.49

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Solution

The fourth proportional to 130.88, 180.34 and 107.49 is: 148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 180.34 = 107.49 : x
  2. Step 2: Convert to fraction form
    130.88/180.34 = 107.49/x
  3. Step 3: Cross multiply
    130.88x = 180.34 × 107.49
  4. Step 4: Simplify right side
    130.88x = 19,384.75
  5. Step 5: Solve for x
    x = 19,384.75/130.88
  6. Step 6: Final answer
    x = 148.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.