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Finding the Fourth Proportional to 262.08, 361.62 and 157.15

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Solution

The fourth proportional to 262.08, 361.62 and 157.15 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.08 : 361.62 = 157.15 : x
  2. Step 2: Convert to fraction form
    262.08/361.62 = 157.15/x
  3. Step 3: Cross multiply
    262.08x = 361.62 × 157.15
  4. Step 4: Simplify right side
    262.08x = 56,828.58
  5. Step 5: Solve for x
    x = 56,828.58/262.08
  6. Step 6: Final answer
    x = 216.84

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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.