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Finding the Fourth Proportional to 250.16, 345.06 and 156.80

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Solution

The fourth proportional to 250.16, 345.06 and 156.80 is: 216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.16 : 345.06 = 156.80 : x
  2. Step 2: Convert to fraction form
    250.16/345.06 = 156.80/x
  3. Step 3: Cross multiply
    250.16x = 345.06 × 156.80
  4. Step 4: Simplify right side
    250.16x = 54,106.27
  5. Step 5: Solve for x
    x = 54,106.27/250.16
  6. Step 6: Final answer
    x = 216.29

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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.