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Finding the Fourth Proportional to 65.53, 98.40 and 46.29

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Solution

The fourth proportional to 65.53, 98.40 and 46.29 is: 69.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 98.40 = 46.29 : x
  2. Step 2: Convert to fraction form
    65.53/98.40 = 46.29/x
  3. Step 3: Cross multiply
    65.53x = 98.40 × 46.29
  4. Step 4: Simplify right side
    65.53x = 4,554.94
  5. Step 5: Solve for x
    x = 4,554.94/65.53
  6. Step 6: Final answer
    x = 69.51

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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.