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Finding the Fourth Proportional to 412.36, 615.45 and 357.32

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Solution

The fourth proportional to 412.36, 615.45 and 357.32 is: 533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 615.45 = 357.32 : x
  2. Step 2: Convert to fraction form
    412.36/615.45 = 357.32/x
  3. Step 3: Cross multiply
    412.36x = 615.45 × 357.32
  4. Step 4: Simplify right side
    412.36x = 219,912.59
  5. Step 5: Solve for x
    x = 219,912.59/412.36
  6. Step 6: Final answer
    x = 533.30

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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.