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Finding the Fourth Proportional to 333.81, 501.27 and 319.77

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Solution

The fourth proportional to 333.81, 501.27 and 319.77 is: 480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.81 : 501.27 = 319.77 : x
  2. Step 2: Convert to fraction form
    333.81/501.27 = 319.77/x
  3. Step 3: Cross multiply
    333.81x = 501.27 × 319.77
  4. Step 4: Simplify right side
    333.81x = 160,291.11
  5. Step 5: Solve for x
    x = 160,291.11/333.81
  6. Step 6: Final answer
    x = 480.19

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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.