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Finding the Fourth Proportional to 85.02, 127.55 and 30.91

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Solution

The fourth proportional to 85.02, 127.55 and 30.91 is: 46.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.02 : 127.55 = 30.91 : x
  2. Step 2: Convert to fraction form
    85.02/127.55 = 30.91/x
  3. Step 3: Cross multiply
    85.02x = 127.55 × 30.91
  4. Step 4: Simplify right side
    85.02x = 3,942.81
  5. Step 5: Solve for x
    x = 3,942.81/85.02
  6. Step 6: Final answer
    x = 46.37

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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.