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Finding the Fourth Proportional to 172.77, 258.99 and 64.48

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Solution

The fourth proportional to 172.77, 258.99 and 64.48 is: 96.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.77 : 258.99 = 64.48 : x
  2. Step 2: Convert to fraction form
    172.77/258.99 = 64.48/x
  3. Step 3: Cross multiply
    172.77x = 258.99 × 64.48
  4. Step 4: Simplify right side
    172.77x = 16,699.27
  5. Step 5: Solve for x
    x = 16,699.27/172.77
  6. Step 6: Final answer
    x = 96.66

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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.