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Finding the Fourth Proportional to 495.03, 742.66 and 148.39

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Solution

The fourth proportional to 495.03, 742.66 and 148.39 is: 222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.03 : 742.66 = 148.39 : x
  2. Step 2: Convert to fraction form
    495.03/742.66 = 148.39/x
  3. Step 3: Cross multiply
    495.03x = 742.66 × 148.39
  4. Step 4: Simplify right side
    495.03x = 110,201.09
  5. Step 5: Solve for x
    x = 110,201.09/495.03
  6. Step 6: Final answer
    x = 222.62

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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.