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Finding the Fourth Proportional to 386.91, 531.18 and 354.06

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Solution

The fourth proportional to 386.91, 531.18 and 354.06 is: 486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.91 : 531.18 = 354.06 : x
  2. Step 2: Convert to fraction form
    386.91/531.18 = 354.06/x
  3. Step 3: Cross multiply
    386.91x = 531.18 × 354.06
  4. Step 4: Simplify right side
    386.91x = 188,069.59
  5. Step 5: Solve for x
    x = 188,069.59/386.91
  6. Step 6: Final answer
    x = 486.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.