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Finding the Fourth Proportional to 403.42, 603.94 and 207.95

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Solution

The fourth proportional to 403.42, 603.94 and 207.95 is: 311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.42 : 603.94 = 207.95 : x
  2. Step 2: Convert to fraction form
    403.42/603.94 = 207.95/x
  3. Step 3: Cross multiply
    403.42x = 603.94 × 207.95
  4. Step 4: Simplify right side
    403.42x = 125,593.00
  5. Step 5: Solve for x
    x = 125,593.00/403.42
  6. Step 6: Final answer
    x = 311.32

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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.