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Finding the Fourth Proportional to 332.81, 459.16 and 194.81

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Solution

The fourth proportional to 332.81, 459.16 and 194.81 is: 268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.81 : 459.16 = 194.81 : x
  2. Step 2: Convert to fraction form
    332.81/459.16 = 194.81/x
  3. Step 3: Cross multiply
    332.81x = 459.16 × 194.81
  4. Step 4: Simplify right side
    332.81x = 89,448.96
  5. Step 5: Solve for x
    x = 89,448.96/332.81
  6. Step 6: Final answer
    x = 268.77

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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.