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Finding the Fourth Proportional to 292.17, 438.07 and 138.03

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Solution

The fourth proportional to 292.17, 438.07 and 138.03 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.17 : 438.07 = 138.03 : x
  2. Step 2: Convert to fraction form
    292.17/438.07 = 138.03/x
  3. Step 3: Cross multiply
    292.17x = 438.07 × 138.03
  4. Step 4: Simplify right side
    292.17x = 60,466.80
  5. Step 5: Solve for x
    x = 60,466.80/292.17
  6. Step 6: Final answer
    x = 206.96

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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.