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Finding the Fourth Proportional to 538.90, 743.50 and 352.66

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Solution

The fourth proportional to 538.90, 743.50 and 352.66 is: 486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.90 : 743.50 = 352.66 : x
  2. Step 2: Convert to fraction form
    538.90/743.50 = 352.66/x
  3. Step 3: Cross multiply
    538.90x = 743.50 × 352.66
  4. Step 4: Simplify right side
    538.90x = 262,202.71
  5. Step 5: Solve for x
    x = 262,202.71/538.90
  6. Step 6: Final answer
    x = 486.55

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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.