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Finding the Fourth Proportional to 64.39, 96.55 and 21.63

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Solution

The fourth proportional to 64.39, 96.55 and 21.63 is: 32.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.39 : 96.55 = 21.63 : x
  2. Step 2: Convert to fraction form
    64.39/96.55 = 21.63/x
  3. Step 3: Cross multiply
    64.39x = 96.55 × 21.63
  4. Step 4: Simplify right side
    64.39x = 2,088.38
  5. Step 5: Solve for x
    x = 2,088.38/64.39
  6. Step 6: Final answer
    x = 32.43

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