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Finding the Fourth Proportional to 369.72, 553.34 and 277.79

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Solution

The fourth proportional to 369.72, 553.34 and 277.79 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.72 : 553.34 = 277.79 : x
  2. Step 2: Convert to fraction form
    369.72/553.34 = 277.79/x
  3. Step 3: Cross multiply
    369.72x = 553.34 × 277.79
  4. Step 4: Simplify right side
    369.72x = 153,710.25
  5. Step 5: Solve for x
    x = 153,710.25/369.72
  6. Step 6: Final answer
    x = 415.75

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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.