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Finding the Fourth Proportional to 333.13, 459.72 and 185.76

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Solution

The fourth proportional to 333.13, 459.72 and 185.76 is: 256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.13 : 459.72 = 185.76 : x
  2. Step 2: Convert to fraction form
    333.13/459.72 = 185.76/x
  3. Step 3: Cross multiply
    333.13x = 459.72 × 185.76
  4. Step 4: Simplify right side
    333.13x = 85,394.36
  5. Step 5: Solve for x
    x = 85,394.36/333.13
  6. Step 6: Final answer
    x = 256.34

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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.