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Finding the Fourth Proportional to 35.64, 48.79 and 35.56

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Solution

The fourth proportional to 35.64, 48.79 and 35.56 is: 48.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.64 : 48.79 = 35.56 : x
  2. Step 2: Convert to fraction form
    35.64/48.79 = 35.56/x
  3. Step 3: Cross multiply
    35.64x = 48.79 × 35.56
  4. Step 4: Simplify right side
    35.64x = 1,734.97
  5. Step 5: Solve for x
    x = 1,734.97/35.64
  6. Step 6: Final answer
    x = 48.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.