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Finding the Fourth Proportional to 2.00, 2.75 and 1.78

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Solution

The fourth proportional to 2.00, 2.75 and 1.78 is: 2.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 2.75 = 1.78 : x
  2. Step 2: Convert to fraction form
    2.00/2.75 = 1.78/x
  3. Step 3: Cross multiply
    2.00x = 2.75 × 1.78
  4. Step 4: Simplify right side
    2.00x = 4.89
  5. Step 5: Solve for x
    x = 4.89/2.00
  6. Step 6: Final answer
    x = 2.45

Related Problems

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1.5x scale

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.