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Finding the Fourth Proportional to 288.23, 430.41 and 283.37

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Solution

The fourth proportional to 288.23, 430.41 and 283.37 is: 423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 430.41 = 283.37 : x
  2. Step 2: Convert to fraction form
    288.23/430.41 = 283.37/x
  3. Step 3: Cross multiply
    288.23x = 430.41 × 283.37
  4. Step 4: Simplify right side
    288.23x = 121,964.19
  5. Step 5: Solve for x
    x = 121,964.19/288.23
  6. Step 6: Final answer
    x = 423.16

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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.