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Finding the Fourth Proportional to 277.60, 415.80 and 149.20

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Solution

The fourth proportional to 277.60, 415.80 and 149.20 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 415.80 = 149.20 : x
  2. Step 2: Convert to fraction form
    277.60/415.80 = 149.20/x
  3. Step 3: Cross multiply
    277.60x = 415.80 × 149.20
  4. Step 4: Simplify right side
    277.60x = 62,037.36
  5. Step 5: Solve for x
    x = 62,037.36/277.60
  6. Step 6: Final answer
    x = 223.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.