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Finding the Fourth Proportional to 412.02, 615.06 and 351.54

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Solution

The fourth proportional to 412.02, 615.06 and 351.54 is: 524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 615.06 = 351.54 : x
  2. Step 2: Convert to fraction form
    412.02/615.06 = 351.54/x
  3. Step 3: Cross multiply
    412.02x = 615.06 × 351.54
  4. Step 4: Simplify right side
    412.02x = 216,218.19
  5. Step 5: Solve for x
    x = 216,218.19/412.02
  6. Step 6: Final answer
    x = 524.78

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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.