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Finding the Fourth Proportional to 386.56, 578.88 and 354.88

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Solution

The fourth proportional to 386.56, 578.88 and 354.88 is: 531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.56 : 578.88 = 354.88 : x
  2. Step 2: Convert to fraction form
    386.56/578.88 = 354.88/x
  3. Step 3: Cross multiply
    386.56x = 578.88 × 354.88
  4. Step 4: Simplify right side
    386.56x = 205,432.93
  5. Step 5: Solve for x
    x = 205,432.93/386.56
  6. Step 6: Final answer
    x = 531.44

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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.