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Finding the Fourth Proportional to 289.36, 399.18 and 172.92

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Solution

The fourth proportional to 289.36, 399.18 and 172.92 is: 238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.36 : 399.18 = 172.92 : x
  2. Step 2: Convert to fraction form
    289.36/399.18 = 172.92/x
  3. Step 3: Cross multiply
    289.36x = 399.18 × 172.92
  4. Step 4: Simplify right side
    289.36x = 69,026.21
  5. Step 5: Solve for x
    x = 69,026.21/289.36
  6. Step 6: Final answer
    x = 238.55

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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.