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Finding the Fourth Proportional to 368.42, 511.07 and 355.05

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Solution

The fourth proportional to 368.42, 511.07 and 355.05 is: 492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.42 : 511.07 = 355.05 : x
  2. Step 2: Convert to fraction form
    368.42/511.07 = 355.05/x
  3. Step 3: Cross multiply
    368.42x = 511.07 × 355.05
  4. Step 4: Simplify right side
    368.42x = 181,453.63
  5. Step 5: Solve for x
    x = 181,453.63/368.42
  6. Step 6: Final answer
    x = 492.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.