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Finding the Fourth Proportional to 412.12, 615.06 and 395.38

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Solution

The fourth proportional to 412.12, 615.06 and 395.38 is: 590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 615.06 = 395.38 : x
  2. Step 2: Convert to fraction form
    412.12/615.06 = 395.38/x
  3. Step 3: Cross multiply
    412.12x = 615.06 × 395.38
  4. Step 4: Simplify right side
    412.12x = 243,179.40
  5. Step 5: Solve for x
    x = 243,179.40/412.12
  6. Step 6: Final answer
    x = 590.06

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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.