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Finding the Fourth Proportional to 172.76, 258.99 and 70.01

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Solution

The fourth proportional to 172.76, 258.99 and 70.01 is: 104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 258.99 = 70.01 : x
  2. Step 2: Convert to fraction form
    172.76/258.99 = 70.01/x
  3. Step 3: Cross multiply
    172.76x = 258.99 × 70.01
  4. Step 4: Simplify right side
    172.76x = 18,130.59
  5. Step 5: Solve for x
    x = 18,130.59/172.76
  6. Step 6: Final answer
    x = 104.95

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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.