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Finding the Fourth Proportional to 47.22, 65.02 and 47.08

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Solution

The fourth proportional to 47.22, 65.02 and 47.08 is: 64.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.22 : 65.02 = 47.08 : x
  2. Step 2: Convert to fraction form
    47.22/65.02 = 47.08/x
  3. Step 3: Cross multiply
    47.22x = 65.02 × 47.08
  4. Step 4: Simplify right side
    47.22x = 3,060.58
  5. Step 5: Solve for x
    x = 3,060.58/47.22
  6. Step 6: Final answer
    x = 64.82

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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.