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Finding the Fourth Proportional to 155.70, 231.92 and 148.68

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Solution

The fourth proportional to 155.70, 231.92 and 148.68 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.70 : 231.92 = 148.68 : x
  2. Step 2: Convert to fraction form
    155.70/231.92 = 148.68/x
  3. Step 3: Cross multiply
    155.70x = 231.92 × 148.68
  4. Step 4: Simplify right side
    155.70x = 34,479.96
  5. Step 5: Solve for x
    x = 34,479.96/155.70
  6. Step 6: Final answer
    x = 221.46

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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.