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Finding the Fourth Proportional to 539.30, 808.68 and 214.50

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Solution

The fourth proportional to 539.30, 808.68 and 214.50 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.30 : 808.68 = 214.50 : x
  2. Step 2: Convert to fraction form
    539.30/808.68 = 214.50/x
  3. Step 3: Cross multiply
    539.30x = 808.68 × 214.50
  4. Step 4: Simplify right side
    539.30x = 173,461.86
  5. Step 5: Solve for x
    x = 173,461.86/539.30
  6. Step 6: Final answer
    x = 321.64

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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.