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Finding the Fourth Proportional to 208.79, 288.34 and 176.30

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Solution

The fourth proportional to 208.79, 288.34 and 176.30 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.79 : 288.34 = 176.30 : x
  2. Step 2: Convert to fraction form
    208.79/288.34 = 176.30/x
  3. Step 3: Cross multiply
    208.79x = 288.34 × 176.30
  4. Step 4: Simplify right side
    208.79x = 50,832.46
  5. Step 5: Solve for x
    x = 50,832.46/208.79
  6. Step 6: Final answer
    x = 243.47

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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.