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Finding the Fourth Proportional to 4.97, 7.45 and 2.30

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Solution

The fourth proportional to 4.97, 7.45 and 2.30 is: 3.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.97 : 7.45 = 2.30 : x
  2. Step 2: Convert to fraction form
    4.97/7.45 = 2.30/x
  3. Step 3: Cross multiply
    4.97x = 7.45 × 2.30
  4. Step 4: Simplify right side
    4.97x = 17.14
  5. Step 5: Solve for x
    x = 17.14/4.97
  6. Step 6: Final answer
    x = 3.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.