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Finding the Fourth Proportional to 385.11, 530.91 and 274.41

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Solution

The fourth proportional to 385.11, 530.91 and 274.41 is: 378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.11 : 530.91 = 274.41 : x
  2. Step 2: Convert to fraction form
    385.11/530.91 = 274.41/x
  3. Step 3: Cross multiply
    385.11x = 530.91 × 274.41
  4. Step 4: Simplify right side
    385.11x = 145,687.01
  5. Step 5: Solve for x
    x = 145,687.01/385.11
  6. Step 6: Final answer
    x = 378.30

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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.