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Finding the Fourth Proportional to 53.57, 80.74 and 52.35

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Solution

The fourth proportional to 53.57, 80.74 and 52.35 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.57 : 80.74 = 52.35 : x
  2. Step 2: Convert to fraction form
    53.57/80.74 = 52.35/x
  3. Step 3: Cross multiply
    53.57x = 80.74 × 52.35
  4. Step 4: Simplify right side
    53.57x = 4,226.74
  5. Step 5: Solve for x
    x = 4,226.74/53.57
  6. Step 6: Final answer
    x = 78.91

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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.