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Finding the Fourth Proportional to 386.16, 531.72 and 355.20

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Solution

The fourth proportional to 386.16, 531.72 and 355.20 is: 489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.16 : 531.72 = 355.20 : x
  2. Step 2: Convert to fraction form
    386.16/531.72 = 355.20/x
  3. Step 3: Cross multiply
    386.16x = 531.72 × 355.20
  4. Step 4: Simplify right side
    386.16x = 188,866.94
  5. Step 5: Solve for x
    x = 188,866.94/386.16
  6. Step 6: Final answer
    x = 489.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.