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Finding the Fourth Proportional to 385.61, 534.36 and 378.32

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Solution

The fourth proportional to 385.61, 534.36 and 378.32 is: 524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.61 : 534.36 = 378.32 : x
  2. Step 2: Convert to fraction form
    385.61/534.36 = 378.32/x
  3. Step 3: Cross multiply
    385.61x = 534.36 × 378.32
  4. Step 4: Simplify right side
    385.61x = 202,156.40
  5. Step 5: Solve for x
    x = 202,156.40/385.61
  6. Step 6: Final answer
    x = 524.26

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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.