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Finding the Fourth Proportional to 64.95, 90.17 and 64.26

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Solution

The fourth proportional to 64.95, 90.17 and 64.26 is: 89.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.95 : 90.17 = 64.26 : x
  2. Step 2: Convert to fraction form
    64.95/90.17 = 64.26/x
  3. Step 3: Cross multiply
    64.95x = 90.17 × 64.26
  4. Step 4: Simplify right side
    64.95x = 5,794.00
  5. Step 5: Solve for x
    x = 5,794.00/64.95
  6. Step 6: Final answer
    x = 89.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.