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Finding the Fourth Proportional to 495.36, 743.16 and 148.69

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Solution

The fourth proportional to 495.36, 743.16 and 148.69 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.36 : 743.16 = 148.69 : x
  2. Step 2: Convert to fraction form
    495.36/743.16 = 148.69/x
  3. Step 3: Cross multiply
    495.36x = 743.16 × 148.69
  4. Step 4: Simplify right side
    495.36x = 110,500.46
  5. Step 5: Solve for x
    x = 110,500.46/495.36
  6. Step 6: Final answer
    x = 223.07

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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.