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Finding the Fourth Proportional to 46.88, 64.65 and 28.42

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Solution

The fourth proportional to 46.88, 64.65 and 28.42 is: 39.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.88 : 64.65 = 28.42 : x
  2. Step 2: Convert to fraction form
    46.88/64.65 = 28.42/x
  3. Step 3: Cross multiply
    46.88x = 64.65 × 28.42
  4. Step 4: Simplify right side
    46.88x = 1,837.14
  5. Step 5: Solve for x
    x = 1,837.14/46.88
  6. Step 6: Final answer
    x = 39.19

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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.