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Finding the Fourth Proportional to 257.09, 384.73 and 159.53

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Solution

The fourth proportional to 257.09, 384.73 and 159.53 is: 238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.09 : 384.73 = 159.53 : x
  2. Step 2: Convert to fraction form
    257.09/384.73 = 159.53/x
  3. Step 3: Cross multiply
    257.09x = 384.73 × 159.53
  4. Step 4: Simplify right side
    257.09x = 61,373.65
  5. Step 5: Solve for x
    x = 61,373.65/257.09
  6. Step 6: Final answer
    x = 238.73

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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.