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Finding the Fourth Proportional to 47.01, 70.94 and 45.23

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Solution

The fourth proportional to 47.01, 70.94 and 45.23 is: 68.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.01 : 70.94 = 45.23 : x
  2. Step 2: Convert to fraction form
    47.01/70.94 = 45.23/x
  3. Step 3: Cross multiply
    47.01x = 70.94 × 45.23
  4. Step 4: Simplify right side
    47.01x = 3,208.91
  5. Step 5: Solve for x
    x = 3,208.91/47.01
  6. Step 6: Final answer
    x = 68.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.