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Finding the Fourth Proportional to 433.71, 651.96 and 348.12

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Solution

The fourth proportional to 433.71, 651.96 and 348.12 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.71 : 651.96 = 348.12 : x
  2. Step 2: Convert to fraction form
    433.71/651.96 = 348.12/x
  3. Step 3: Cross multiply
    433.71x = 651.96 × 348.12
  4. Step 4: Simplify right side
    433.71x = 226,960.32
  5. Step 5: Solve for x
    x = 226,960.32/433.71
  6. Step 6: Final answer
    x = 523.30

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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.