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Finding the Fourth Proportional to 63.89, 96.21 and 45.98

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Solution

The fourth proportional to 63.89, 96.21 and 45.98 is: 69.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.89 : 96.21 = 45.98 : x
  2. Step 2: Convert to fraction form
    63.89/96.21 = 45.98/x
  3. Step 3: Cross multiply
    63.89x = 96.21 × 45.98
  4. Step 4: Simplify right side
    63.89x = 4,423.74
  5. Step 5: Solve for x
    x = 4,423.74/63.89
  6. Step 6: Final answer
    x = 69.24

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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.