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Finding the Fourth Proportional to 130.58, 195.63 and 101.78

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Solution

The fourth proportional to 130.58, 195.63 and 101.78 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.58 : 195.63 = 101.78 : x
  2. Step 2: Convert to fraction form
    130.58/195.63 = 101.78/x
  3. Step 3: Cross multiply
    130.58x = 195.63 × 101.78
  4. Step 4: Simplify right side
    130.58x = 19,911.22
  5. Step 5: Solve for x
    x = 19,911.22/130.58
  6. Step 6: Final answer
    x = 152.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.