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Finding the Fourth Proportional to 183.84, 253.70 and 124.84

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Solution

The fourth proportional to 183.84, 253.70 and 124.84 is: 172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 253.70 = 124.84 : x
  2. Step 2: Convert to fraction form
    183.84/253.70 = 124.84/x
  3. Step 3: Cross multiply
    183.84x = 253.70 × 124.84
  4. Step 4: Simplify right side
    183.84x = 31,671.91
  5. Step 5: Solve for x
    x = 31,671.91/183.84
  6. Step 6: Final answer
    x = 172.28

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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.