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Finding the Fourth Proportional to 253.32, 381.68 and 210.92

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Solution

The fourth proportional to 253.32, 381.68 and 210.92 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.32 : 381.68 = 210.92 : x
  2. Step 2: Convert to fraction form
    253.32/381.68 = 210.92/x
  3. Step 3: Cross multiply
    253.32x = 381.68 × 210.92
  4. Step 4: Simplify right side
    253.32x = 80,503.95
  5. Step 5: Solve for x
    x = 80,503.95/253.32
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.