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Finding the Fourth Proportional to 292.63, 438.90 and 107.50

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Solution

The fourth proportional to 292.63, 438.90 and 107.50 is: 161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.63 : 438.90 = 107.50 : x
  2. Step 2: Convert to fraction form
    292.63/438.90 = 107.50/x
  3. Step 3: Cross multiply
    292.63x = 438.90 × 107.50
  4. Step 4: Simplify right side
    292.63x = 47,181.75
  5. Step 5: Solve for x
    x = 47,181.75/292.63
  6. Step 6: Final answer
    x = 161.23

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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.