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Finding the Fourth Proportional to 333.67, 500.71 and 290.67

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Solution

The fourth proportional to 333.67, 500.71 and 290.67 is: 436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.67 : 500.71 = 290.67 : x
  2. Step 2: Convert to fraction form
    333.67/500.71 = 290.67/x
  3. Step 3: Cross multiply
    333.67x = 500.71 × 290.67
  4. Step 4: Simplify right side
    333.67x = 145,541.90
  5. Step 5: Solve for x
    x = 145,541.90/333.67
  6. Step 6: Final answer
    x = 436.19

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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.