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Finding the Fourth Proportional to 53.06, 80.06 and 51.98

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Solution

The fourth proportional to 53.06, 80.06 and 51.98 is: 78.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 80.06 = 51.98 : x
  2. Step 2: Convert to fraction form
    53.06/80.06 = 51.98/x
  3. Step 3: Cross multiply
    53.06x = 80.06 × 51.98
  4. Step 4: Simplify right side
    53.06x = 4,160.86
  5. Step 5: Solve for x
    x = 4,160.86/53.06
  6. Step 6: Final answer
    x = 78.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.