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Finding the Fourth Proportional to 495.31, 742.93 and 148.65

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Solution

The fourth proportional to 495.31, 742.93 and 148.65 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.31 : 742.93 = 148.65 : x
  2. Step 2: Convert to fraction form
    495.31/742.93 = 148.65/x
  3. Step 3: Cross multiply
    495.31x = 742.93 × 148.65
  4. Step 4: Simplify right side
    495.31x = 110,436.54
  5. Step 5: Solve for x
    x = 110,436.54/495.31
  6. Step 6: Final answer
    x = 222.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.