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Finding the Fourth Proportional to 185.94, 277.74 and 156.24

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Solution

The fourth proportional to 185.94, 277.74 and 156.24 is: 233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 277.74 = 156.24 : x
  2. Step 2: Convert to fraction form
    185.94/277.74 = 156.24/x
  3. Step 3: Cross multiply
    185.94x = 277.74 × 156.24
  4. Step 4: Simplify right side
    185.94x = 43,394.10
  5. Step 5: Solve for x
    x = 43,394.10/185.94
  6. Step 6: Final answer
    x = 233.38

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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.