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Finding the Fourth Proportional to 157.86, 235.57 and 139.64

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Solution

The fourth proportional to 157.86, 235.57 and 139.64 is: 208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.86 : 235.57 = 139.64 : x
  2. Step 2: Convert to fraction form
    157.86/235.57 = 139.64/x
  3. Step 3: Cross multiply
    157.86x = 235.57 × 139.64
  4. Step 4: Simplify right side
    157.86x = 32,893.47
  5. Step 5: Solve for x
    x = 32,893.47/157.86
  6. Step 6: Final answer
    x = 208.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.