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Finding the Fourth Proportional to 130.02, 179.52 and 107.76

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Solution

The fourth proportional to 130.02, 179.52 and 107.76 is: 148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.02 : 179.52 = 107.76 : x
  2. Step 2: Convert to fraction form
    130.02/179.52 = 107.76/x
  3. Step 3: Cross multiply
    130.02x = 179.52 × 107.76
  4. Step 4: Simplify right side
    130.02x = 19,345.08
  5. Step 5: Solve for x
    x = 19,345.08/130.02
  6. Step 6: Final answer
    x = 148.79

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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.