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Finding the Fourth Proportional to 253.69, 350.10 and 148.85

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Solution

The fourth proportional to 253.69, 350.10 and 148.85 is: 205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.69 : 350.10 = 148.85 : x
  2. Step 2: Convert to fraction form
    253.69/350.10 = 148.85/x
  3. Step 3: Cross multiply
    253.69x = 350.10 × 148.85
  4. Step 4: Simplify right side
    253.69x = 52,109.89
  5. Step 5: Solve for x
    x = 52,109.89/253.69
  6. Step 6: Final answer
    x = 205.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.