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Finding the Fourth Proportional to 385.54, 581.36 and 378.24

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Solution

The fourth proportional to 385.54, 581.36 and 378.24 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.54 : 581.36 = 378.24 : x
  2. Step 2: Convert to fraction form
    385.54/581.36 = 378.24/x
  3. Step 3: Cross multiply
    385.54x = 581.36 × 378.24
  4. Step 4: Simplify right side
    385.54x = 219,893.61
  5. Step 5: Solve for x
    x = 219,893.61/385.54
  6. Step 6: Final answer
    x = 570.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.