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Finding the Fourth Proportional to 100.46, 150.46 and 59.80

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Solution

The fourth proportional to 100.46, 150.46 and 59.80 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 150.46 = 59.80 : x
  2. Step 2: Convert to fraction form
    100.46/150.46 = 59.80/x
  3. Step 3: Cross multiply
    100.46x = 150.46 × 59.80
  4. Step 4: Simplify right side
    100.46x = 8,997.51
  5. Step 5: Solve for x
    x = 8,997.51/100.46
  6. Step 6: Final answer
    x = 89.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.