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Finding the Fourth Proportional to 412.36, 615.93 and 347.56

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Solution

The fourth proportional to 412.36, 615.93 and 347.56 is: 519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 615.93 = 347.56 : x
  2. Step 2: Convert to fraction form
    412.36/615.93 = 347.56/x
  3. Step 3: Cross multiply
    412.36x = 615.93 × 347.56
  4. Step 4: Simplify right side
    412.36x = 214,072.63
  5. Step 5: Solve for x
    x = 214,072.63/412.36
  6. Step 6: Final answer
    x = 519.14

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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.