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Finding the Fourth Proportional to 288.10, 397.66 and 177.62

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Solution

The fourth proportional to 288.10, 397.66 and 177.62 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 397.66 = 177.62 : x
  2. Step 2: Convert to fraction form
    288.10/397.66 = 177.62/x
  3. Step 3: Cross multiply
    288.10x = 397.66 × 177.62
  4. Step 4: Simplify right side
    288.10x = 70,632.37
  5. Step 5: Solve for x
    x = 70,632.37/288.10
  6. Step 6: Final answer
    x = 245.17

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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.