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Finding the Fourth Proportional to 184.42, 253.93 and 157.99

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Solution

The fourth proportional to 184.42, 253.93 and 157.99 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.42 : 253.93 = 157.99 : x
  2. Step 2: Convert to fraction form
    184.42/253.93 = 157.99/x
  3. Step 3: Cross multiply
    184.42x = 253.93 × 157.99
  4. Step 4: Simplify right side
    184.42x = 40,118.40
  5. Step 5: Solve for x
    x = 40,118.40/184.42
  6. Step 6: Final answer
    x = 217.54

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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.