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Finding the Fourth Proportional to 412.45, 618.51 and 207.14

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Solution

The fourth proportional to 412.45, 618.51 and 207.14 is: 310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.45 : 618.51 = 207.14 : x
  2. Step 2: Convert to fraction form
    412.45/618.51 = 207.14/x
  3. Step 3: Cross multiply
    412.45x = 618.51 × 207.14
  4. Step 4: Simplify right side
    412.45x = 128,117.44
  5. Step 5: Solve for x
    x = 128,117.44/412.45
  6. Step 6: Final answer
    x = 310.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.