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Finding the Fourth Proportional to 292.10, 437.74 and 127.35

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Solution

The fourth proportional to 292.10, 437.74 and 127.35 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 437.74 = 127.35 : x
  2. Step 2: Convert to fraction form
    292.10/437.74 = 127.35/x
  3. Step 3: Cross multiply
    292.10x = 437.74 × 127.35
  4. Step 4: Simplify right side
    292.10x = 55,745.87
  5. Step 5: Solve for x
    x = 55,745.87/292.10
  6. Step 6: Final answer
    x = 190.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.