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Finding the Fourth Proportional to 46.44, 64.20 and 40.35

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Solution

The fourth proportional to 46.44, 64.20 and 40.35 is: 55.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.44 : 64.20 = 40.35 : x
  2. Step 2: Convert to fraction form
    46.44/64.20 = 40.35/x
  3. Step 3: Cross multiply
    46.44x = 64.20 × 40.35
  4. Step 4: Simplify right side
    46.44x = 2,590.47
  5. Step 5: Solve for x
    x = 2,590.47/46.44
  6. Step 6: Final answer
    x = 55.78

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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.