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Finding the Fourth Proportional to 288.49, 397.99 and 172.01

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Solution

The fourth proportional to 288.49, 397.99 and 172.01 is: 237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.49 : 397.99 = 172.01 : x
  2. Step 2: Convert to fraction form
    288.49/397.99 = 172.01/x
  3. Step 3: Cross multiply
    288.49x = 397.99 × 172.01
  4. Step 4: Simplify right side
    288.49x = 68,457.40
  5. Step 5: Solve for x
    x = 68,457.40/288.49
  6. Step 6: Final answer
    x = 237.30

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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.