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Finding the Fourth Proportional to 157.60, 216.72 and 131.36

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Solution

The fourth proportional to 157.60, 216.72 and 131.36 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 216.72 = 131.36 : x
  2. Step 2: Convert to fraction form
    157.60/216.72 = 131.36/x
  3. Step 3: Cross multiply
    157.60x = 216.72 × 131.36
  4. Step 4: Simplify right side
    157.60x = 28,468.34
  5. Step 5: Solve for x
    x = 28,468.34/157.60
  6. Step 6: Final answer
    x = 180.64

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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.