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Finding the Fourth Proportional to 285.06, 424.83 and 256.44

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Solution

The fourth proportional to 285.06, 424.83 and 256.44 is: 382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 424.83 = 256.44 : x
  2. Step 2: Convert to fraction form
    285.06/424.83 = 256.44/x
  3. Step 3: Cross multiply
    285.06x = 424.83 × 256.44
  4. Step 4: Simplify right side
    285.06x = 108,943.41
  5. Step 5: Solve for x
    x = 108,943.41/285.06
  6. Step 6: Final answer
    x = 382.18

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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.