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Finding the Fourth Proportional to 130.42, 180 and 75.19

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Solution

The fourth proportional to 130.42, 180 and 75.19 is: 103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.42 : 180 = 75.19 : x
  2. Step 2: Convert to fraction form
    130.42/180 = 75.19/x
  3. Step 3: Cross multiply
    130.42x = 180 × 75.19
  4. Step 4: Simplify right side
    130.42x = 13,534.20
  5. Step 5: Solve for x
    x = 13,534.20/130.42
  6. Step 6: Final answer
    x = 103.78

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1.5x scale

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.