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Finding the Fourth Proportional to 250.58, 374.35 and 209.57

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Solution

The fourth proportional to 250.58, 374.35 and 209.57 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.58 : 374.35 = 209.57 : x
  2. Step 2: Convert to fraction form
    250.58/374.35 = 209.57/x
  3. Step 3: Cross multiply
    250.58x = 374.35 × 209.57
  4. Step 4: Simplify right side
    250.58x = 78,451.48
  5. Step 5: Solve for x
    x = 78,451.48/250.58
  6. Step 6: Final answer
    x = 313.08

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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.