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Finding the Fourth Proportional to 292.63, 438.87 and 146.23

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Solution

The fourth proportional to 292.63, 438.87 and 146.23 is: 219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.63 : 438.87 = 146.23 : x
  2. Step 2: Convert to fraction form
    292.63/438.87 = 146.23/x
  3. Step 3: Cross multiply
    292.63x = 438.87 × 146.23
  4. Step 4: Simplify right side
    292.63x = 64,175.96
  5. Step 5: Solve for x
    x = 64,175.96/292.63
  6. Step 6: Final answer
    x = 219.31

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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.