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Finding the Fourth Proportional to 495.25, 743.00 and 148.58

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Solution

The fourth proportional to 495.25, 743.00 and 148.58 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 743.00 = 148.58 : x
  2. Step 2: Convert to fraction form
    495.25/743.00 = 148.58/x
  3. Step 3: Cross multiply
    495.25x = 743.00 × 148.58
  4. Step 4: Simplify right side
    495.25x = 110,393.27
  5. Step 5: Solve for x
    x = 110,393.27/495.25
  6. Step 6: Final answer
    x = 222.91

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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.