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Finding the Fourth Proportional to 173.58, 259.12 and 149.06

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Solution

The fourth proportional to 173.58, 259.12 and 149.06 is: 222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.58 : 259.12 = 149.06 : x
  2. Step 2: Convert to fraction form
    173.58/259.12 = 149.06/x
  3. Step 3: Cross multiply
    173.58x = 259.12 × 149.06
  4. Step 4: Simplify right side
    173.58x = 38,624.43
  5. Step 5: Solve for x
    x = 38,624.43/173.58
  6. Step 6: Final answer
    x = 222.52

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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.