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Finding the Fourth Proportional to 45.54, 63 and 39.06

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Solution

The fourth proportional to 45.54, 63 and 39.06 is: 54.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.54 : 63 = 39.06 : x
  2. Step 2: Convert to fraction form
    45.54/63 = 39.06/x
  3. Step 3: Cross multiply
    45.54x = 63 × 39.06
  4. Step 4: Simplify right side
    45.54x = 2,460.78
  5. Step 5: Solve for x
    x = 2,460.78/45.54
  6. Step 6: Final answer
    x = 54.04

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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.