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Finding the Fourth Proportional to 157.15, 234.32 and 139.69

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Solution

The fourth proportional to 157.15, 234.32 and 139.69 is: 208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 234.32 = 139.69 : x
  2. Step 2: Convert to fraction form
    157.15/234.32 = 139.69/x
  3. Step 3: Cross multiply
    157.15x = 234.32 × 139.69
  4. Step 4: Simplify right side
    157.15x = 32,732.16
  5. Step 5: Solve for x
    x = 32,732.16/157.15
  6. Step 6: Final answer
    x = 208.29

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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.