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Finding the Fourth Proportional to 46.50, 64.14 and 43.05

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Solution

The fourth proportional to 46.50, 64.14 and 43.05 is: 59.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 64.14 = 43.05 : x
  2. Step 2: Convert to fraction form
    46.50/64.14 = 43.05/x
  3. Step 3: Cross multiply
    46.50x = 64.14 × 43.05
  4. Step 4: Simplify right side
    46.50x = 2,761.23
  5. Step 5: Solve for x
    x = 2,761.23/46.50
  6. Step 6: Final answer
    x = 59.38

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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.