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Finding the Fourth Proportional to 385.52, 578.28 and 257

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Solution

The fourth proportional to 385.52, 578.28 and 257 is: 385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.52 : 578.28 = 257 : x
  2. Step 2: Convert to fraction form
    385.52/578.28 = 257/x
  3. Step 3: Cross multiply
    385.52x = 578.28 × 257
  4. Step 4: Simplify right side
    385.52x = 148,617.96
  5. Step 5: Solve for x
    x = 148,617.96/385.52
  6. Step 6: Final answer
    x = 385.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.