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Finding the Fourth Proportional to 257.10, 384.84 and 170.24

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Solution

The fourth proportional to 257.10, 384.84 and 170.24 is: 254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.10 : 384.84 = 170.24 : x
  2. Step 2: Convert to fraction form
    257.10/384.84 = 170.24/x
  3. Step 3: Cross multiply
    257.10x = 384.84 × 170.24
  4. Step 4: Simplify right side
    257.10x = 65,513.24
  5. Step 5: Solve for x
    x = 65,513.24/257.10
  6. Step 6: Final answer
    x = 254.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.