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Finding the Fourth Proportional to 250.74, 345.78 and 157.50

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Solution

The fourth proportional to 250.74, 345.78 and 157.50 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.74 : 345.78 = 157.50 : x
  2. Step 2: Convert to fraction form
    250.74/345.78 = 157.50/x
  3. Step 3: Cross multiply
    250.74x = 345.78 × 157.50
  4. Step 4: Simplify right side
    250.74x = 54,460.35
  5. Step 5: Solve for x
    x = 54,460.35/250.74
  6. Step 6: Final answer
    x = 217.20

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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.