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Finding the Fourth Proportional to 2.07, 3.09 and 1.57

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Solution

The fourth proportional to 2.07, 3.09 and 1.57 is: 2.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.07 : 3.09 = 1.57 : x
  2. Step 2: Convert to fraction form
    2.07/3.09 = 1.57/x
  3. Step 3: Cross multiply
    2.07x = 3.09 × 1.57
  4. Step 4: Simplify right side
    2.07x = 4.86
  5. Step 5: Solve for x
    x = 4.86/2.07
  6. Step 6: Final answer
    x = 2.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.