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Finding the Fourth Proportional to 246.40, 338.40 and 214.40

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Solution

The fourth proportional to 246.40, 338.40 and 214.40 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.40 : 338.40 = 214.40 : x
  2. Step 2: Convert to fraction form
    246.40/338.40 = 214.40/x
  3. Step 3: Cross multiply
    246.40x = 338.40 × 214.40
  4. Step 4: Simplify right side
    246.40x = 72,552.96
  5. Step 5: Solve for x
    x = 72,552.96/246.40
  6. Step 6: Final answer
    x = 294.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.