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Finding the Fourth Proportional to 292.53, 438.54 and 119.34

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Solution

The fourth proportional to 292.53, 438.54 and 119.34 is: 178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 438.54 = 119.34 : x
  2. Step 2: Convert to fraction form
    292.53/438.54 = 119.34/x
  3. Step 3: Cross multiply
    292.53x = 438.54 × 119.34
  4. Step 4: Simplify right side
    292.53x = 52,335.36
  5. Step 5: Solve for x
    x = 52,335.36/292.53
  6. Step 6: Final answer
    x = 178.91

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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.