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Finding the Fourth Proportional to 369.60, 554 and 271.84

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Solution

The fourth proportional to 369.60, 554 and 271.84 is: 407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 554 = 271.84 : x
  2. Step 2: Convert to fraction form
    369.60/554 = 271.84/x
  3. Step 3: Cross multiply
    369.60x = 554 × 271.84
  4. Step 4: Simplify right side
    369.60x = 150,599.36
  5. Step 5: Solve for x
    x = 150,599.36/369.60
  6. Step 6: Final answer
    x = 407.47

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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.