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Finding the Fourth Proportional to 64.80, 89.46 and 43

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Solution

The fourth proportional to 64.80, 89.46 and 43 is: 59.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.80 : 89.46 = 43 : x
  2. Step 2: Convert to fraction form
    64.80/89.46 = 43/x
  3. Step 3: Cross multiply
    64.80x = 89.46 × 43
  4. Step 4: Simplify right side
    64.80x = 3,846.78
  5. Step 5: Solve for x
    x = 3,846.78/64.80
  6. Step 6: Final answer
    x = 59.36

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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.