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Finding the Fourth Proportional to 288.01, 430.05 and 239.41

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Solution

The fourth proportional to 288.01, 430.05 and 239.41 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.01 : 430.05 = 239.41 : x
  2. Step 2: Convert to fraction form
    288.01/430.05 = 239.41/x
  3. Step 3: Cross multiply
    288.01x = 430.05 × 239.41
  4. Step 4: Simplify right side
    288.01x = 102,958.27
  5. Step 5: Solve for x
    x = 102,958.27/288.01
  6. Step 6: Final answer
    x = 357.48

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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.