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Finding the Fourth Proportional to 409.14, 564.45 and 251.67

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Solution

The fourth proportional to 409.14, 564.45 and 251.67 is: 347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 564.45 = 251.67 : x
  2. Step 2: Convert to fraction form
    409.14/564.45 = 251.67/x
  3. Step 3: Cross multiply
    409.14x = 564.45 × 251.67
  4. Step 4: Simplify right side
    409.14x = 142,055.13
  5. Step 5: Solve for x
    x = 142,055.13/409.14
  6. Step 6: Final answer
    x = 347.20

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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.