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Finding the Fourth Proportional to 368.20, 551.82 and 257.65

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Solution

The fourth proportional to 368.20, 551.82 and 257.65 is: 386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.20 : 551.82 = 257.65 : x
  2. Step 2: Convert to fraction form
    368.20/551.82 = 257.65/x
  3. Step 3: Cross multiply
    368.20x = 551.82 × 257.65
  4. Step 4: Simplify right side
    368.20x = 142,176.42
  5. Step 5: Solve for x
    x = 142,176.42/368.20
  6. Step 6: Final answer
    x = 386.14

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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.