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Finding the Fourth Proportional to 43.02, 64.57 and 21.38

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Solution

The fourth proportional to 43.02, 64.57 and 21.38 is: 32.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.02 : 64.57 = 21.38 : x
  2. Step 2: Convert to fraction form
    43.02/64.57 = 21.38/x
  3. Step 3: Cross multiply
    43.02x = 64.57 × 21.38
  4. Step 4: Simplify right side
    43.02x = 1,380.51
  5. Step 5: Solve for x
    x = 1,380.51/43.02
  6. Step 6: Final answer
    x = 32.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.