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Finding the Fourth Proportional to 303.70, 419.14 and 233.86

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Solution

The fourth proportional to 303.70, 419.14 and 233.86 is: 322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.70 : 419.14 = 233.86 : x
  2. Step 2: Convert to fraction form
    303.70/419.14 = 233.86/x
  3. Step 3: Cross multiply
    303.70x = 419.14 × 233.86
  4. Step 4: Simplify right side
    303.70x = 98,020.08
  5. Step 5: Solve for x
    x = 98,020.08/303.70
  6. Step 6: Final answer
    x = 322.75

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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.