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Finding the Fourth Proportional to 288.51, 397.85 and 172.05

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Solution

The fourth proportional to 288.51, 397.85 and 172.05 is: 237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.51 : 397.85 = 172.05 : x
  2. Step 2: Convert to fraction form
    288.51/397.85 = 172.05/x
  3. Step 3: Cross multiply
    288.51x = 397.85 × 172.05
  4. Step 4: Simplify right side
    288.51x = 68,449.23
  5. Step 5: Solve for x
    x = 68,449.23/288.51
  6. Step 6: Final answer
    x = 237.25

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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.