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Finding the Fourth Proportional to 157.30, 216.80 and 108.09

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Solution

The fourth proportional to 157.30, 216.80 and 108.09 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.30 : 216.80 = 108.09 : x
  2. Step 2: Convert to fraction form
    157.30/216.80 = 108.09/x
  3. Step 3: Cross multiply
    157.30x = 216.80 × 108.09
  4. Step 4: Simplify right side
    157.30x = 23,433.91
  5. Step 5: Solve for x
    x = 23,433.91/157.30
  6. Step 6: Final answer
    x = 148.98

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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.