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Finding the Fourth Proportional to 35.46, 48.92 and 30.02

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Solution

The fourth proportional to 35.46, 48.92 and 30.02 is: 41.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.46 : 48.92 = 30.02 : x
  2. Step 2: Convert to fraction form
    35.46/48.92 = 30.02/x
  3. Step 3: Cross multiply
    35.46x = 48.92 × 30.02
  4. Step 4: Simplify right side
    35.46x = 1,468.18
  5. Step 5: Solve for x
    x = 1,468.18/35.46
  6. Step 6: Final answer
    x = 41.40

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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.