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Finding the Fourth Proportional to 214.70, 319.58 and 204.74

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Solution

The fourth proportional to 214.70, 319.58 and 204.74 is: 304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 319.58 = 204.74 : x
  2. Step 2: Convert to fraction form
    214.70/319.58 = 204.74/x
  3. Step 3: Cross multiply
    214.70x = 319.58 × 204.74
  4. Step 4: Simplify right side
    214.70x = 65,428.19
  5. Step 5: Solve for x
    x = 65,428.19/214.70
  6. Step 6: Final answer
    x = 304.75

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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.