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Finding the Fourth Proportional to 246.40, 368.04 and 209.94

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Solution

The fourth proportional to 246.40, 368.04 and 209.94 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.40 : 368.04 = 209.94 : x
  2. Step 2: Convert to fraction form
    246.40/368.04 = 209.94/x
  3. Step 3: Cross multiply
    246.40x = 368.04 × 209.94
  4. Step 4: Simplify right side
    246.40x = 77,266.32
  5. Step 5: Solve for x
    x = 77,266.32/246.40
  6. Step 6: Final answer
    x = 313.58

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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.