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Finding the Fourth Proportional to 412.42, 621.07 and 358.96

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Solution

The fourth proportional to 412.42, 621.07 and 358.96 is: 540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 621.07 = 358.96 : x
  2. Step 2: Convert to fraction form
    412.42/621.07 = 358.96/x
  3. Step 3: Cross multiply
    412.42x = 621.07 × 358.96
  4. Step 4: Simplify right side
    412.42x = 222,939.29
  5. Step 5: Solve for x
    x = 222,939.29/412.42
  6. Step 6: Final answer
    x = 540.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.