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Finding the Fourth Proportional to 65.20, 98.26 and 58.79

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Solution

The fourth proportional to 65.20, 98.26 and 58.79 is: 88.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.20 : 98.26 = 58.79 : x
  2. Step 2: Convert to fraction form
    65.20/98.26 = 58.79/x
  3. Step 3: Cross multiply
    65.20x = 98.26 × 58.79
  4. Step 4: Simplify right side
    65.20x = 5,776.41
  5. Step 5: Solve for x
    x = 5,776.41/65.20
  6. Step 6: Final answer
    x = 88.60

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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.