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Finding the Fourth Proportional to 65.21, 97.71 and 49.95

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Solution

The fourth proportional to 65.21, 97.71 and 49.95 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.21 : 97.71 = 49.95 : x
  2. Step 2: Convert to fraction form
    65.21/97.71 = 49.95/x
  3. Step 3: Cross multiply
    65.21x = 97.71 × 49.95
  4. Step 4: Simplify right side
    65.21x = 4,880.71
  5. Step 5: Solve for x
    x = 4,880.71/65.21
  6. Step 6: Final answer
    x = 74.85

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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.