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Finding the Fourth Proportional to 53.20, 80.21 and 51.40

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Solution

The fourth proportional to 53.20, 80.21 and 51.40 is: 77.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.20 : 80.21 = 51.40 : x
  2. Step 2: Convert to fraction form
    53.20/80.21 = 51.40/x
  3. Step 3: Cross multiply
    53.20x = 80.21 × 51.40
  4. Step 4: Simplify right side
    53.20x = 4,122.79
  5. Step 5: Solve for x
    x = 4,122.79/53.20
  6. Step 6: Final answer
    x = 77.50

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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.