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Finding the Fourth Proportional to 201.93, 278.70 and 124.32

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Solution

The fourth proportional to 201.93, 278.70 and 124.32 is: 171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.93 : 278.70 = 124.32 : x
  2. Step 2: Convert to fraction form
    201.93/278.70 = 124.32/x
  3. Step 3: Cross multiply
    201.93x = 278.70 × 124.32
  4. Step 4: Simplify right side
    201.93x = 34,647.98
  5. Step 5: Solve for x
    x = 34,647.98/201.93
  6. Step 6: Final answer
    x = 171.58

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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.