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Finding the Fourth Proportional to 271.84, 374.89 and 230.35

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Solution

The fourth proportional to 271.84, 374.89 and 230.35 is: 317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.84 : 374.89 = 230.35 : x
  2. Step 2: Convert to fraction form
    271.84/374.89 = 230.35/x
  3. Step 3: Cross multiply
    271.84x = 374.89 × 230.35
  4. Step 4: Simplify right side
    271.84x = 86,354.04
  5. Step 5: Solve for x
    x = 86,354.04/271.84
  6. Step 6: Final answer
    x = 317.67

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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.