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Finding the Fourth Proportional to 367.84, 507.60 and 274.40

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Solution

The fourth proportional to 367.84, 507.60 and 274.40 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 507.60 = 274.40 : x
  2. Step 2: Convert to fraction form
    367.84/507.60 = 274.40/x
  3. Step 3: Cross multiply
    367.84x = 507.60 × 274.40
  4. Step 4: Simplify right side
    367.84x = 139,285.44
  5. Step 5: Solve for x
    x = 139,285.44/367.84
  6. Step 6: Final answer
    x = 378.66

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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.