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Finding the Fourth Proportional to 412.59, 618.55 and 207.05

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Solution

The fourth proportional to 412.59, 618.55 and 207.05 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 618.55 = 207.05 : x
  2. Step 2: Convert to fraction form
    412.59/618.55 = 207.05/x
  3. Step 3: Cross multiply
    412.59x = 618.55 × 207.05
  4. Step 4: Simplify right side
    412.59x = 128,070.78
  5. Step 5: Solve for x
    x = 128,070.78/412.59
  6. Step 6: Final answer
    x = 310.41

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Why These Related Problems?

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