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Finding the Fourth Proportional to 310.34, 428.12 and 210.68

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Solution

The fourth proportional to 310.34, 428.12 and 210.68 is: 290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 428.12 = 210.68 : x
  2. Step 2: Convert to fraction form
    310.34/428.12 = 210.68/x
  3. Step 3: Cross multiply
    310.34x = 428.12 × 210.68
  4. Step 4: Simplify right side
    310.34x = 90,193.13
  5. Step 5: Solve for x
    x = 90,193.13/310.34
  6. Step 6: Final answer
    x = 290.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.