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Finding the Fourth Proportional to 47.01, 64.82 and 30.63

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Solution

The fourth proportional to 47.01, 64.82 and 30.63 is: 42.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.01 : 64.82 = 30.63 : x
  2. Step 2: Convert to fraction form
    47.01/64.82 = 30.63/x
  3. Step 3: Cross multiply
    47.01x = 64.82 × 30.63
  4. Step 4: Simplify right side
    47.01x = 1,985.22
  5. Step 5: Solve for x
    x = 1,985.22/47.01
  6. Step 6: Final answer
    x = 42.23

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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.