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Finding the Fourth Proportional to 53.98, 81.43 and 52.78

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Solution

The fourth proportional to 53.98, 81.43 and 52.78 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.98 : 81.43 = 52.78 : x
  2. Step 2: Convert to fraction form
    53.98/81.43 = 52.78/x
  3. Step 3: Cross multiply
    53.98x = 81.43 × 52.78
  4. Step 4: Simplify right side
    53.98x = 4,297.88
  5. Step 5: Solve for x
    x = 4,297.88/53.98
  6. Step 6: Final answer
    x = 79.62

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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.