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Finding the Fourth Proportional to 333.14, 459.54 and 216.50

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Solution

The fourth proportional to 333.14, 459.54 and 216.50 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.14 : 459.54 = 216.50 : x
  2. Step 2: Convert to fraction form
    333.14/459.54 = 216.50/x
  3. Step 3: Cross multiply
    333.14x = 459.54 × 216.50
  4. Step 4: Simplify right side
    333.14x = 99,490.41
  5. Step 5: Solve for x
    x = 99,490.41/333.14
  6. Step 6: Final answer
    x = 298.64

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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.