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Finding the Fourth Proportional to 257.63, 386.44 and 75.00

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Solution

The fourth proportional to 257.63, 386.44 and 75.00 is: 112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.63 : 386.44 = 75.00 : x
  2. Step 2: Convert to fraction form
    257.63/386.44 = 75.00/x
  3. Step 3: Cross multiply
    257.63x = 386.44 × 75.00
  4. Step 4: Simplify right side
    257.63x = 28,981.07
  5. Step 5: Solve for x
    x = 28,981.07/257.63
  6. Step 6: Final answer
    x = 112.49

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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.