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Finding the Fourth Proportional to 385.48, 535.10 and 361.18

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Solution

The fourth proportional to 385.48, 535.10 and 361.18 is: 501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 535.10 = 361.18 : x
  2. Step 2: Convert to fraction form
    385.48/535.10 = 361.18/x
  3. Step 3: Cross multiply
    385.48x = 535.10 × 361.18
  4. Step 4: Simplify right side
    385.48x = 193,264.27
  5. Step 5: Solve for x
    x = 193,264.27/385.48
  6. Step 6: Final answer
    x = 501.36

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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.