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Finding the Fourth Proportional to 202.40, 275.75 and 202.40

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Solution

The fourth proportional to 202.40, 275.75 and 202.40 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 275.75 = 202.40 : x
  2. Step 2: Convert to fraction form
    202.40/275.75 = 202.40/x
  3. Step 3: Cross multiply
    202.40x = 275.75 × 202.40
  4. Step 4: Simplify right side
    202.40x = 55,811.80
  5. Step 5: Solve for x
    x = 55,811.80/202.40
  6. Step 6: Final answer
    x = 275.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.