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Finding the Fourth Proportional to 65.50, 98.60 and 59.83

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Solution

The fourth proportional to 65.50, 98.60 and 59.83 is: 90.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 98.60 = 59.83 : x
  2. Step 2: Convert to fraction form
    65.50/98.60 = 59.83/x
  3. Step 3: Cross multiply
    65.50x = 98.60 × 59.83
  4. Step 4: Simplify right side
    65.50x = 5,899.24
  5. Step 5: Solve for x
    x = 5,899.24/65.50
  6. Step 6: Final answer
    x = 90.06

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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.