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Finding the Fourth Proportional to 335.68, 504.54 and 214.72

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Solution

The fourth proportional to 335.68, 504.54 and 214.72 is: 322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.68 : 504.54 = 214.72 : x
  2. Step 2: Convert to fraction form
    335.68/504.54 = 214.72/x
  3. Step 3: Cross multiply
    335.68x = 504.54 × 214.72
  4. Step 4: Simplify right side
    335.68x = 108,334.83
  5. Step 5: Solve for x
    x = 108,334.83/335.68
  6. Step 6: Final answer
    x = 322.73

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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.