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Finding the Fourth Proportional to 246.61, 368.11 and 214.33

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Solution

The fourth proportional to 246.61, 368.11 and 214.33 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.61 : 368.11 = 214.33 : x
  2. Step 2: Convert to fraction form
    246.61/368.11 = 214.33/x
  3. Step 3: Cross multiply
    246.61x = 368.11 × 214.33
  4. Step 4: Simplify right side
    246.61x = 78,897.02
  5. Step 5: Solve for x
    x = 78,897.02/246.61
  6. Step 6: Final answer
    x = 319.93

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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.