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Finding the Fourth Proportional to 65.26, 90.05 and 39.03

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Solution

The fourth proportional to 65.26, 90.05 and 39.03 is: 53.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.26 : 90.05 = 39.03 : x
  2. Step 2: Convert to fraction form
    65.26/90.05 = 39.03/x
  3. Step 3: Cross multiply
    65.26x = 90.05 × 39.03
  4. Step 4: Simplify right side
    65.26x = 3,514.20
  5. Step 5: Solve for x
    x = 3,514.20/65.26
  6. Step 6: Final answer
    x = 53.85

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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.