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Finding the Fourth Proportional to 174.31, 260.31 and 148.67

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Solution

The fourth proportional to 174.31, 260.31 and 148.67 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.31 : 260.31 = 148.67 : x
  2. Step 2: Convert to fraction form
    174.31/260.31 = 148.67/x
  3. Step 3: Cross multiply
    174.31x = 260.31 × 148.67
  4. Step 4: Simplify right side
    174.31x = 38,700.94
  5. Step 5: Solve for x
    x = 38,700.94/174.31
  6. Step 6: Final answer
    x = 222.03

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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.