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Finding the Fourth Proportional to 288.18, 430.47 and 206.37

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Solution

The fourth proportional to 288.18, 430.47 and 206.37 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.18 : 430.47 = 206.37 : x
  2. Step 2: Convert to fraction form
    288.18/430.47 = 206.37/x
  3. Step 3: Cross multiply
    288.18x = 430.47 × 206.37
  4. Step 4: Simplify right side
    288.18x = 88,836.09
  5. Step 5: Solve for x
    x = 88,836.09/288.18
  6. Step 6: Final answer
    x = 308.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.