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Finding the Fourth Proportional to 385.80, 575.45 and 358.92

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Solution

The fourth proportional to 385.80, 575.45 and 358.92 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 575.45 = 358.92 : x
  2. Step 2: Convert to fraction form
    385.80/575.45 = 358.92/x
  3. Step 3: Cross multiply
    385.80x = 575.45 × 358.92
  4. Step 4: Simplify right side
    385.80x = 206,540.51
  5. Step 5: Solve for x
    x = 206,540.51/385.80
  6. Step 6: Final answer
    x = 535.36

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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.