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Finding the Fourth Proportional to 431.76, 596.16 and 300.72

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Solution

The fourth proportional to 431.76, 596.16 and 300.72 is: 415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 596.16 = 300.72 : x
  2. Step 2: Convert to fraction form
    431.76/596.16 = 300.72/x
  3. Step 3: Cross multiply
    431.76x = 596.16 × 300.72
  4. Step 4: Simplify right side
    431.76x = 179,277.24
  5. Step 5: Solve for x
    x = 179,277.24/431.76
  6. Step 6: Final answer
    x = 415.22

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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.