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Finding the Fourth Proportional to 409.61, 564.02 and 350.15

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Solution

The fourth proportional to 409.61, 564.02 and 350.15 is: 482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.61 : 564.02 = 350.15 : x
  2. Step 2: Convert to fraction form
    409.61/564.02 = 350.15/x
  3. Step 3: Cross multiply
    409.61x = 564.02 × 350.15
  4. Step 4: Simplify right side
    409.61x = 197,491.77
  5. Step 5: Solve for x
    x = 197,491.77/409.61
  6. Step 6: Final answer
    x = 482.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.