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Finding the Fourth Proportional to 368.34, 551.67 and 305.07

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Solution

The fourth proportional to 368.34, 551.67 and 305.07 is: 456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.34 : 551.67 = 305.07 : x
  2. Step 2: Convert to fraction form
    368.34/551.67 = 305.07/x
  3. Step 3: Cross multiply
    368.34x = 551.67 × 305.07
  4. Step 4: Simplify right side
    368.34x = 168,297.97
  5. Step 5: Solve for x
    x = 168,297.97/368.34
  6. Step 6: Final answer
    x = 456.91

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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.