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Finding the Fourth Proportional to 106.41, 158.30 and 101.55

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Solution

The fourth proportional to 106.41, 158.30 and 101.55 is: 151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.41 : 158.30 = 101.55 : x
  2. Step 2: Convert to fraction form
    106.41/158.30 = 101.55/x
  3. Step 3: Cross multiply
    106.41x = 158.30 × 101.55
  4. Step 4: Simplify right side
    106.41x = 16,075.62
  5. Step 5: Solve for x
    x = 16,075.62/106.41
  6. Step 6: Final answer
    x = 151.07

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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.