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Finding the Fourth Proportional to 239.76, 357.96 and 203.16

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Solution

The fourth proportional to 239.76, 357.96 and 203.16 is: 303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.76 : 357.96 = 203.16 : x
  2. Step 2: Convert to fraction form
    239.76/357.96 = 203.16/x
  3. Step 3: Cross multiply
    239.76x = 357.96 × 203.16
  4. Step 4: Simplify right side
    239.76x = 72,723.15
  5. Step 5: Solve for x
    x = 72,723.15/239.76
  6. Step 6: Final answer
    x = 303.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.