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Finding the Fourth Proportional to 94.55, 130.48 and 55.20

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Solution

The fourth proportional to 94.55, 130.48 and 55.20 is: 76.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.55 : 130.48 = 55.20 : x
  2. Step 2: Convert to fraction form
    94.55/130.48 = 55.20/x
  3. Step 3: Cross multiply
    94.55x = 130.48 × 55.20
  4. Step 4: Simplify right side
    94.55x = 7,202.96
  5. Step 5: Solve for x
    x = 7,202.96/94.55
  6. Step 6: Final answer
    x = 76.18

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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.