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Finding the Fourth Proportional to 427, 640.47 and 210.50

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Solution

The fourth proportional to 427, 640.47 and 210.50 is: 315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427 : 640.47 = 210.50 : x
  2. Step 2: Convert to fraction form
    427/640.47 = 210.50/x
  3. Step 3: Cross multiply
    427x = 640.47 × 210.50
  4. Step 4: Simplify right side
    427x = 134,818.94
  5. Step 5: Solve for x
    x = 134,818.94/427
  6. Step 6: Final answer
    x = 315.74

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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.