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Finding the Fourth Proportional to 253.48, 349.86 and 148.62

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Solution

The fourth proportional to 253.48, 349.86 and 148.62 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.48 : 349.86 = 148.62 : x
  2. Step 2: Convert to fraction form
    253.48/349.86 = 148.62/x
  3. Step 3: Cross multiply
    253.48x = 349.86 × 148.62
  4. Step 4: Simplify right side
    253.48x = 51,996.19
  5. Step 5: Solve for x
    x = 51,996.19/253.48
  6. Step 6: Final answer
    x = 205.13

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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.