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Finding the Fourth Proportional to 26.65, 36.76 and 16.28

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Solution

The fourth proportional to 26.65, 36.76 and 16.28 is: 22.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.65 : 36.76 = 16.28 : x
  2. Step 2: Convert to fraction form
    26.65/36.76 = 16.28/x
  3. Step 3: Cross multiply
    26.65x = 36.76 × 16.28
  4. Step 4: Simplify right side
    26.65x = 598.41
  5. Step 5: Solve for x
    x = 598.41/26.65
  6. Step 6: Final answer
    x = 22.45

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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.