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Finding the Fourth Proportional to 46.90, 64.64 and 33.77

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Solution

The fourth proportional to 46.90, 64.64 and 33.77 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.90 : 64.64 = 33.77 : x
  2. Step 2: Convert to fraction form
    46.90/64.64 = 33.77/x
  3. Step 3: Cross multiply
    46.90x = 64.64 × 33.77
  4. Step 4: Simplify right side
    46.90x = 2,182.40
  5. Step 5: Solve for x
    x = 2,182.40/46.90
  6. Step 6: Final answer
    x = 46.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.