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Finding the Fourth Proportional to 437.33, 654.74 and 341.21

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Solution

The fourth proportional to 437.33, 654.74 and 341.21 is: 510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.33 : 654.74 = 341.21 : x
  2. Step 2: Convert to fraction form
    437.33/654.74 = 341.21/x
  3. Step 3: Cross multiply
    437.33x = 654.74 × 341.21
  4. Step 4: Simplify right side
    437.33x = 223,402.13
  5. Step 5: Solve for x
    x = 223,402.13/437.33
  6. Step 6: Final answer
    x = 510.83

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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.