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Finding the Fourth Proportional to 115.59, 172.50 and 106.45

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Solution

The fourth proportional to 115.59, 172.50 and 106.45 is: 158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.59 : 172.50 = 106.45 : x
  2. Step 2: Convert to fraction form
    115.59/172.50 = 106.45/x
  3. Step 3: Cross multiply
    115.59x = 172.50 × 106.45
  4. Step 4: Simplify right side
    115.59x = 18,361.79
  5. Step 5: Solve for x
    x = 18,361.79/115.59
  6. Step 6: Final answer
    x = 158.85

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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.