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Finding the Fourth Proportional to 47.00, 64.90 and 31.48

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Solution

The fourth proportional to 47.00, 64.90 and 31.48 is: 43.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.00 : 64.90 = 31.48 : x
  2. Step 2: Convert to fraction form
    47.00/64.90 = 31.48/x
  3. Step 3: Cross multiply
    47.00x = 64.90 × 31.48
  4. Step 4: Simplify right side
    47.00x = 2,042.75
  5. Step 5: Solve for x
    x = 2,042.75/47.00
  6. Step 6: Final answer
    x = 43.47

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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.