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Finding the Fourth Proportional to 257.98, 386.65 and 188.46

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Solution

The fourth proportional to 257.98, 386.65 and 188.46 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 386.65 = 188.46 : x
  2. Step 2: Convert to fraction form
    257.98/386.65 = 188.46/x
  3. Step 3: Cross multiply
    257.98x = 386.65 × 188.46
  4. Step 4: Simplify right side
    257.98x = 72,868.06
  5. Step 5: Solve for x
    x = 72,868.06/257.98
  6. Step 6: Final answer
    x = 282.46

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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.