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Finding the Fourth Proportional to 385.20, 530.96 and 274.48

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Solution

The fourth proportional to 385.20, 530.96 and 274.48 is: 378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 530.96 = 274.48 : x
  2. Step 2: Convert to fraction form
    385.20/530.96 = 274.48/x
  3. Step 3: Cross multiply
    385.20x = 530.96 × 274.48
  4. Step 4: Simplify right side
    385.20x = 145,737.90
  5. Step 5: Solve for x
    x = 145,737.90/385.20
  6. Step 6: Final answer
    x = 378.34

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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.