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Finding the Fourth Proportional to 257.46, 384.58 and 170.07

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Solution

The fourth proportional to 257.46, 384.58 and 170.07 is: 254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 384.58 = 170.07 : x
  2. Step 2: Convert to fraction form
    257.46/384.58 = 170.07/x
  3. Step 3: Cross multiply
    257.46x = 384.58 × 170.07
  4. Step 4: Simplify right side
    257.46x = 65,405.10
  5. Step 5: Solve for x
    x = 65,405.10/257.46
  6. Step 6: Final answer
    x = 254.04

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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.