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Finding the Fourth Proportional to 288.69, 430.23 and 279.46

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Solution

The fourth proportional to 288.69, 430.23 and 279.46 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 430.23 = 279.46 : x
  2. Step 2: Convert to fraction form
    288.69/430.23 = 279.46/x
  3. Step 3: Cross multiply
    288.69x = 430.23 × 279.46
  4. Step 4: Simplify right side
    288.69x = 120,232.08
  5. Step 5: Solve for x
    x = 120,232.08/288.69
  6. Step 6: Final answer
    x = 416.47

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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.