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Finding the Fourth Proportional to 333.09, 459.61 and 215.10

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Solution

The fourth proportional to 333.09, 459.61 and 215.10 is: 296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 459.61 = 215.10 : x
  2. Step 2: Convert to fraction form
    333.09/459.61 = 215.10/x
  3. Step 3: Cross multiply
    333.09x = 459.61 × 215.10
  4. Step 4: Simplify right side
    333.09x = 98,861.57
  5. Step 5: Solve for x
    x = 98,861.57/333.09
  6. Step 6: Final answer
    x = 296.80

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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.