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Finding the Fourth Proportional to 412.56, 615.81 and 351.24

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Solution

The fourth proportional to 412.56, 615.81 and 351.24 is: 524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 615.81 = 351.24 : x
  2. Step 2: Convert to fraction form
    412.56/615.81 = 351.24/x
  3. Step 3: Cross multiply
    412.56x = 615.81 × 351.24
  4. Step 4: Simplify right side
    412.56x = 216,297.10
  5. Step 5: Solve for x
    x = 216,297.10/412.56
  6. Step 6: Final answer
    x = 524.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.