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Finding the Fourth Proportional to 214.32, 319.63 and 199.74

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Solution

The fourth proportional to 214.32, 319.63 and 199.74 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 319.63 = 199.74 : x
  2. Step 2: Convert to fraction form
    214.32/319.63 = 199.74/x
  3. Step 3: Cross multiply
    214.32x = 319.63 × 199.74
  4. Step 4: Simplify right side
    214.32x = 63,842.90
  5. Step 5: Solve for x
    x = 63,842.90/214.32
  6. Step 6: Final answer
    x = 297.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.