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Finding the Fourth Proportional to 423.55, 634.92 and 207.01

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Solution

The fourth proportional to 423.55, 634.92 and 207.01 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.55 : 634.92 = 207.01 : x
  2. Step 2: Convert to fraction form
    423.55/634.92 = 207.01/x
  3. Step 3: Cross multiply
    423.55x = 634.92 × 207.01
  4. Step 4: Simplify right side
    423.55x = 131,434.79
  5. Step 5: Solve for x
    x = 131,434.79/423.55
  6. Step 6: Final answer
    x = 310.32

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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.