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Finding the Fourth Proportional to 257.25, 354.85 and 183.67

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Solution

The fourth proportional to 257.25, 354.85 and 183.67 is: 253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.25 : 354.85 = 183.67 : x
  2. Step 2: Convert to fraction form
    257.25/354.85 = 183.67/x
  3. Step 3: Cross multiply
    257.25x = 354.85 × 183.67
  4. Step 4: Simplify right side
    257.25x = 65,173.95
  5. Step 5: Solve for x
    x = 65,173.95/257.25
  6. Step 6: Final answer
    x = 253.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.