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Finding the Fourth Proportional to 65.86, 90.23 and 65.23

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Solution

The fourth proportional to 65.86, 90.23 and 65.23 is: 89.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.86 : 90.23 = 65.23 : x
  2. Step 2: Convert to fraction form
    65.86/90.23 = 65.23/x
  3. Step 3: Cross multiply
    65.86x = 90.23 × 65.23
  4. Step 4: Simplify right side
    65.86x = 5,885.70
  5. Step 5: Solve for x
    x = 5,885.70/65.86
  6. Step 6: Final answer
    x = 89.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.