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Finding the Fourth Proportional to 46.90, 64.73 and 30.53

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Solution

The fourth proportional to 46.90, 64.73 and 30.53 is: 42.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.90 : 64.73 = 30.53 : x
  2. Step 2: Convert to fraction form
    46.90/64.73 = 30.53/x
  3. Step 3: Cross multiply
    46.90x = 64.73 × 30.53
  4. Step 4: Simplify right side
    46.90x = 1,976.21
  5. Step 5: Solve for x
    x = 1,976.21/46.90
  6. Step 6: Final answer
    x = 42.14

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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.