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Finding the Fourth Proportional to 60.45, 90.22 and 51.45

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Solution

The fourth proportional to 60.45, 90.22 and 51.45 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.45 : 90.22 = 51.45 : x
  2. Step 2: Convert to fraction form
    60.45/90.22 = 51.45/x
  3. Step 3: Cross multiply
    60.45x = 90.22 × 51.45
  4. Step 4: Simplify right side
    60.45x = 4,641.56
  5. Step 5: Solve for x
    x = 4,641.56/60.45
  6. Step 6: Final answer
    x = 76.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.