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Finding the Fourth Proportional to 257.26, 384.47 and 188.95

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Solution

The fourth proportional to 257.26, 384.47 and 188.95 is: 282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 384.47 = 188.95 : x
  2. Step 2: Convert to fraction form
    257.26/384.47 = 188.95/x
  3. Step 3: Cross multiply
    257.26x = 384.47 × 188.95
  4. Step 4: Simplify right side
    257.26x = 72,645.61
  5. Step 5: Solve for x
    x = 72,645.61/257.26
  6. Step 6: Final answer
    x = 282.38

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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.