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Finding the Fourth Proportional to 325.42, 485.92 and 256.16

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Solution

The fourth proportional to 325.42, 485.92 and 256.16 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.42 : 485.92 = 256.16 : x
  2. Step 2: Convert to fraction form
    325.42/485.92 = 256.16/x
  3. Step 3: Cross multiply
    325.42x = 485.92 × 256.16
  4. Step 4: Simplify right side
    325.42x = 124,473.36
  5. Step 5: Solve for x
    x = 124,473.36/325.42
  6. Step 6: Final answer
    x = 382.50

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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.