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Finding the Fourth Proportional to 431.94, 596.28 and 282.72

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Solution

The fourth proportional to 431.94, 596.28 and 282.72 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 596.28 = 282.72 : x
  2. Step 2: Convert to fraction form
    431.94/596.28 = 282.72/x
  3. Step 3: Cross multiply
    431.94x = 596.28 × 282.72
  4. Step 4: Simplify right side
    431.94x = 168,577.30
  5. Step 5: Solve for x
    x = 168,577.30/431.94
  6. Step 6: Final answer
    x = 390.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.