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Finding the Fourth Proportional to 536.23, 739.96 and 339.81

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Solution

The fourth proportional to 536.23, 739.96 and 339.81 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.23 : 739.96 = 339.81 : x
  2. Step 2: Convert to fraction form
    536.23/739.96 = 339.81/x
  3. Step 3: Cross multiply
    536.23x = 739.96 × 339.81
  4. Step 4: Simplify right side
    536.23x = 251,445.81
  5. Step 5: Solve for x
    x = 251,445.81/536.23
  6. Step 6: Final answer
    x = 468.91

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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.