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Finding the Fourth Proportional to 292.20, 437.84 and 155.21

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Solution

The fourth proportional to 292.20, 437.84 and 155.21 is: 232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 437.84 = 155.21 : x
  2. Step 2: Convert to fraction form
    292.20/437.84 = 155.21/x
  3. Step 3: Cross multiply
    292.20x = 437.84 × 155.21
  4. Step 4: Simplify right side
    292.20x = 67,957.15
  5. Step 5: Solve for x
    x = 67,957.15/292.20
  6. Step 6: Final answer
    x = 232.57

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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.