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Finding the Fourth Proportional to 333.86, 500.50 and 305.34

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Solution

The fourth proportional to 333.86, 500.50 and 305.34 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.86 : 500.50 = 305.34 : x
  2. Step 2: Convert to fraction form
    333.86/500.50 = 305.34/x
  3. Step 3: Cross multiply
    333.86x = 500.50 × 305.34
  4. Step 4: Simplify right side
    333.86x = 152,822.67
  5. Step 5: Solve for x
    x = 152,822.67/333.86
  6. Step 6: Final answer
    x = 457.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.