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Finding the Fourth Proportional to 35.16, 48.46 and 32.88

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Solution

The fourth proportional to 35.16, 48.46 and 32.88 is: 45.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.16 : 48.46 = 32.88 : x
  2. Step 2: Convert to fraction form
    35.16/48.46 = 32.88/x
  3. Step 3: Cross multiply
    35.16x = 48.46 × 32.88
  4. Step 4: Simplify right side
    35.16x = 1,593.36
  5. Step 5: Solve for x
    x = 1,593.36/35.16
  6. Step 6: Final answer
    x = 45.32

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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.