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Finding the Fourth Proportional to 46.91, 64.77 and 30.57

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Solution

The fourth proportional to 46.91, 64.77 and 30.57 is: 42.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.91 : 64.77 = 30.57 : x
  2. Step 2: Convert to fraction form
    46.91/64.77 = 30.57/x
  3. Step 3: Cross multiply
    46.91x = 64.77 × 30.57
  4. Step 4: Simplify right side
    46.91x = 1,980.02
  5. Step 5: Solve for x
    x = 1,980.02/46.91
  6. Step 6: Final answer
    x = 42.21

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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.