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Finding the Fourth Proportional to 59.80, 90.19 and 59.80

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Solution

The fourth proportional to 59.80, 90.19 and 59.80 is: 90.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.80 : 90.19 = 59.80 : x
  2. Step 2: Convert to fraction form
    59.80/90.19 = 59.80/x
  3. Step 3: Cross multiply
    59.80x = 90.19 × 59.80
  4. Step 4: Simplify right side
    59.80x = 5,393.36
  5. Step 5: Solve for x
    x = 5,393.36/59.80
  6. Step 6: Final answer
    x = 90.19

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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.