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Finding the Fourth Proportional to 257.97, 384.48 and 257.58

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Solution

The fourth proportional to 257.97, 384.48 and 257.58 is: 383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.97 : 384.48 = 257.58 : x
  2. Step 2: Convert to fraction form
    257.97/384.48 = 257.58/x
  3. Step 3: Cross multiply
    257.97x = 384.48 × 257.58
  4. Step 4: Simplify right side
    257.97x = 99,034.36
  5. Step 5: Solve for x
    x = 99,034.36/257.97
  6. Step 6: Final answer
    x = 383.90

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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.