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Finding the Fourth Proportional to 94.42, 130.36 and 59.46

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Solution

The fourth proportional to 94.42, 130.36 and 59.46 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 130.36 = 59.46 : x
  2. Step 2: Convert to fraction form
    94.42/130.36 = 59.46/x
  3. Step 3: Cross multiply
    94.42x = 130.36 × 59.46
  4. Step 4: Simplify right side
    94.42x = 7,751.21
  5. Step 5: Solve for x
    x = 7,751.21/94.42
  6. Step 6: Final answer
    x = 82.09

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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.