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Finding the Fourth Proportional to 368.13, 551.70 and 185.66

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Solution

The fourth proportional to 368.13, 551.70 and 185.66 is: 278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.13 : 551.70 = 185.66 : x
  2. Step 2: Convert to fraction form
    368.13/551.70 = 185.66/x
  3. Step 3: Cross multiply
    368.13x = 551.70 × 185.66
  4. Step 4: Simplify right side
    368.13x = 102,425.86
  5. Step 5: Solve for x
    x = 102,425.86/368.13
  6. Step 6: Final answer
    x = 278.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.