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Finding the Fourth Proportional to 235.02, 351.73 and 148.30

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Solution

The fourth proportional to 235.02, 351.73 and 148.30 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.02 : 351.73 = 148.30 : x
  2. Step 2: Convert to fraction form
    235.02/351.73 = 148.30/x
  3. Step 3: Cross multiply
    235.02x = 351.73 × 148.30
  4. Step 4: Simplify right side
    235.02x = 52,161.56
  5. Step 5: Solve for x
    x = 52,161.56/235.02
  6. Step 6: Final answer
    x = 221.95

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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.