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Finding the Fourth Proportional to 253, 349.21 and 165.79

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Solution

The fourth proportional to 253, 349.21 and 165.79 is: 228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253 : 349.21 = 165.79 : x
  2. Step 2: Convert to fraction form
    253/349.21 = 165.79/x
  3. Step 3: Cross multiply
    253x = 349.21 × 165.79
  4. Step 4: Simplify right side
    253x = 57,895.53
  5. Step 5: Solve for x
    x = 57,895.53/253
  6. Step 6: Final answer
    x = 228.84

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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.