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Finding the Fourth Proportional to 36.40, 54.65 and 35.23

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Solution

The fourth proportional to 36.40, 54.65 and 35.23 is: 52.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.40 : 54.65 = 35.23 : x
  2. Step 2: Convert to fraction form
    36.40/54.65 = 35.23/x
  3. Step 3: Cross multiply
    36.40x = 54.65 × 35.23
  4. Step 4: Simplify right side
    36.40x = 1,925.32
  5. Step 5: Solve for x
    x = 1,925.32/36.40
  6. Step 6: Final answer
    x = 52.89

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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.