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Finding the Fourth Proportional to 288.18, 397.73 and 176.19

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Solution

The fourth proportional to 288.18, 397.73 and 176.19 is: 243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.18 : 397.73 = 176.19 : x
  2. Step 2: Convert to fraction form
    288.18/397.73 = 176.19/x
  3. Step 3: Cross multiply
    288.18x = 397.73 × 176.19
  4. Step 4: Simplify right side
    288.18x = 70,076.24
  5. Step 5: Solve for x
    x = 70,076.24/288.18
  6. Step 6: Final answer
    x = 243.17

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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.