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Finding the Fourth Proportional to 369.76, 509 and 271.36

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Solution

The fourth proportional to 369.76, 509 and 271.36 is: 373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 509 = 271.36 : x
  2. Step 2: Convert to fraction form
    369.76/509 = 271.36/x
  3. Step 3: Cross multiply
    369.76x = 509 × 271.36
  4. Step 4: Simplify right side
    369.76x = 138,122.24
  5. Step 5: Solve for x
    x = 138,122.24/369.76
  6. Step 6: Final answer
    x = 373.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.