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Finding the Fourth Proportional to 386.78, 577.33 and 354.32

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Solution

The fourth proportional to 386.78, 577.33 and 354.32 is: 528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.78 : 577.33 = 354.32 : x
  2. Step 2: Convert to fraction form
    386.78/577.33 = 354.32/x
  3. Step 3: Cross multiply
    386.78x = 577.33 × 354.32
  4. Step 4: Simplify right side
    386.78x = 204,554.91
  5. Step 5: Solve for x
    x = 204,554.91/386.78
  6. Step 6: Final answer
    x = 528.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.