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Finding the Fourth Proportional to 271.58, 377.28 and 269.04

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Solution

The fourth proportional to 271.58, 377.28 and 269.04 is: 373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.58 : 377.28 = 269.04 : x
  2. Step 2: Convert to fraction form
    271.58/377.28 = 269.04/x
  3. Step 3: Cross multiply
    271.58x = 377.28 × 269.04
  4. Step 4: Simplify right side
    271.58x = 101,503.41
  5. Step 5: Solve for x
    x = 101,503.41/271.58
  6. Step 6: Final answer
    x = 373.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.