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Finding the Fourth Proportional to 53.09, 80.05 and 46.41

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Solution

The fourth proportional to 53.09, 80.05 and 46.41 is: 69.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.09 : 80.05 = 46.41 : x
  2. Step 2: Convert to fraction form
    53.09/80.05 = 46.41/x
  3. Step 3: Cross multiply
    53.09x = 80.05 × 46.41
  4. Step 4: Simplify right side
    53.09x = 3,715.12
  5. Step 5: Solve for x
    x = 3,715.12/53.09
  6. Step 6: Final answer
    x = 69.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.