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Finding the Fourth Proportional to 58.28, 86.97 and 52.48

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Solution

The fourth proportional to 58.28, 86.97 and 52.48 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.28 : 86.97 = 52.48 : x
  2. Step 2: Convert to fraction form
    58.28/86.97 = 52.48/x
  3. Step 3: Cross multiply
    58.28x = 86.97 × 52.48
  4. Step 4: Simplify right side
    58.28x = 4,563.49
  5. Step 5: Solve for x
    x = 4,563.49/58.28
  6. Step 6: Final answer
    x = 78.30

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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.