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Finding the Fourth Proportional to 65.68, 90.67 and 46.03

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Solution

The fourth proportional to 65.68, 90.67 and 46.03 is: 63.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 90.67 = 46.03 : x
  2. Step 2: Convert to fraction form
    65.68/90.67 = 46.03/x
  3. Step 3: Cross multiply
    65.68x = 90.67 × 46.03
  4. Step 4: Simplify right side
    65.68x = 4,173.54
  5. Step 5: Solve for x
    x = 4,173.54/65.68
  6. Step 6: Final answer
    x = 63.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.