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Finding the Fourth Proportional to 100.49, 150.78 and 69.98

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Solution

The fourth proportional to 100.49, 150.78 and 69.98 is: 105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.49 : 150.78 = 69.98 : x
  2. Step 2: Convert to fraction form
    100.49/150.78 = 69.98/x
  3. Step 3: Cross multiply
    100.49x = 150.78 × 69.98
  4. Step 4: Simplify right side
    100.49x = 10,551.58
  5. Step 5: Solve for x
    x = 10,551.58/100.49
  6. Step 6: Final answer
    x = 105.00

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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.