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Finding the Fourth Proportional to 155.40, 201.75 and 155.40

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Solution

The fourth proportional to 155.40, 201.75 and 155.40 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 201.75 = 155.40 : x
  2. Step 2: Convert to fraction form
    155.40/201.75 = 155.40/x
  3. Step 3: Cross multiply
    155.40x = 201.75 × 155.40
  4. Step 4: Simplify right side
    155.40x = 31,351.95
  5. Step 5: Solve for x
    x = 31,351.95/155.40
  6. Step 6: Final answer
    x = 201.75

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.