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Finding the Fourth Proportional to 157.58, 237.44 and 130.77

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Solution

The fourth proportional to 157.58, 237.44 and 130.77 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.58 : 237.44 = 130.77 : x
  2. Step 2: Convert to fraction form
    157.58/237.44 = 130.77/x
  3. Step 3: Cross multiply
    157.58x = 237.44 × 130.77
  4. Step 4: Simplify right side
    157.58x = 31,049.37
  5. Step 5: Solve for x
    x = 31,049.37/157.58
  6. Step 6: Final answer
    x = 197.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.