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Finding the Fourth Proportional to 288.56, 430.38 and 253.92

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Solution

The fourth proportional to 288.56, 430.38 and 253.92 is: 378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 430.38 = 253.92 : x
  2. Step 2: Convert to fraction form
    288.56/430.38 = 253.92/x
  3. Step 3: Cross multiply
    288.56x = 430.38 × 253.92
  4. Step 4: Simplify right side
    288.56x = 109,282.09
  5. Step 5: Solve for x
    x = 109,282.09/288.56
  6. Step 6: Final answer
    x = 378.72

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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.