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Finding the Fourth Proportional to 257.55, 384.75 and 256.29

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Solution

The fourth proportional to 257.55, 384.75 and 256.29 is: 382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 384.75 = 256.29 : x
  2. Step 2: Convert to fraction form
    257.55/384.75 = 256.29/x
  3. Step 3: Cross multiply
    257.55x = 384.75 × 256.29
  4. Step 4: Simplify right side
    257.55x = 98,607.58
  5. Step 5: Solve for x
    x = 98,607.58/257.55
  6. Step 6: Final answer
    x = 382.87

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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.