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Finding the Fourth Proportional to 356.93, 492.55 and 201.68

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Solution

The fourth proportional to 356.93, 492.55 and 201.68 is: 278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.93 : 492.55 = 201.68 : x
  2. Step 2: Convert to fraction form
    356.93/492.55 = 201.68/x
  3. Step 3: Cross multiply
    356.93x = 492.55 × 201.68
  4. Step 4: Simplify right side
    356.93x = 99,335.02
  5. Step 5: Solve for x
    x = 99,335.02/356.93
  6. Step 6: Final answer
    x = 278.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.