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Finding the Fourth Proportional to 101.04, 150.78 and 90.84

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Solution

The fourth proportional to 101.04, 150.78 and 90.84 is: 135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 150.78 = 90.84 : x
  2. Step 2: Convert to fraction form
    101.04/150.78 = 90.84/x
  3. Step 3: Cross multiply
    101.04x = 150.78 × 90.84
  4. Step 4: Simplify right side
    101.04x = 13,696.86
  5. Step 5: Solve for x
    x = 13,696.86/101.04
  6. Step 6: Final answer
    x = 135.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.