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Finding the Fourth Proportional to 254.52, 349.38 and 228.60

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Solution

The fourth proportional to 254.52, 349.38 and 228.60 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.52 : 349.38 = 228.60 : x
  2. Step 2: Convert to fraction form
    254.52/349.38 = 228.60/x
  3. Step 3: Cross multiply
    254.52x = 349.38 × 228.60
  4. Step 4: Simplify right side
    254.52x = 79,868.27
  5. Step 5: Solve for x
    x = 79,868.27/254.52
  6. Step 6: Final answer
    x = 313.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.