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Finding the Fourth Proportional to 409.48, 564.10 and 311.16

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Solution

The fourth proportional to 409.48, 564.10 and 311.16 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.48 : 564.10 = 311.16 : x
  2. Step 2: Convert to fraction form
    409.48/564.10 = 311.16/x
  3. Step 3: Cross multiply
    409.48x = 564.10 × 311.16
  4. Step 4: Simplify right side
    409.48x = 175,525.36
  5. Step 5: Solve for x
    x = 175,525.36/409.48
  6. Step 6: Final answer
    x = 428.65

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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.