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Finding the Fourth Proportional to 253.47, 349.42 and 218.35

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Solution

The fourth proportional to 253.47, 349.42 and 218.35 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.47 : 349.42 = 218.35 : x
  2. Step 2: Convert to fraction form
    253.47/349.42 = 218.35/x
  3. Step 3: Cross multiply
    253.47x = 349.42 × 218.35
  4. Step 4: Simplify right side
    253.47x = 76,293.02
  5. Step 5: Solve for x
    x = 76,293.02/253.47
  6. Step 6: Final answer
    x = 300.99

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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.