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Finding the Fourth Proportional to 46.75, 64.56 and 31.20

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Solution

The fourth proportional to 46.75, 64.56 and 31.20 is: 43.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 64.56 = 31.20 : x
  2. Step 2: Convert to fraction form
    46.75/64.56 = 31.20/x
  3. Step 3: Cross multiply
    46.75x = 64.56 × 31.20
  4. Step 4: Simplify right side
    46.75x = 2,014.27
  5. Step 5: Solve for x
    x = 2,014.27/46.75
  6. Step 6: Final answer
    x = 43.09

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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.