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Finding the Fourth Proportional to 386.08, 532.91 and 355.10

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Solution

The fourth proportional to 386.08, 532.91 and 355.10 is: 490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.08 : 532.91 = 355.10 : x
  2. Step 2: Convert to fraction form
    386.08/532.91 = 355.10/x
  3. Step 3: Cross multiply
    386.08x = 532.91 × 355.10
  4. Step 4: Simplify right side
    386.08x = 189,234.56
  5. Step 5: Solve for x
    x = 189,234.56/386.08
  6. Step 6: Final answer
    x = 490.15

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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.