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Finding the Fourth Proportional to 413, 618.73 and 207.33

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Solution

The fourth proportional to 413, 618.73 and 207.33 is: 310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 618.73 = 207.33 : x
  2. Step 2: Convert to fraction form
    413/618.73 = 207.33/x
  3. Step 3: Cross multiply
    413x = 618.73 × 207.33
  4. Step 4: Simplify right side
    413x = 128,280.25
  5. Step 5: Solve for x
    x = 128,280.25/413
  6. Step 6: Final answer
    x = 310.61

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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.