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Finding the Fourth Proportional to 292.85, 438.62 and 155.55

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Solution

The fourth proportional to 292.85, 438.62 and 155.55 is: 232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.85 : 438.62 = 155.55 : x
  2. Step 2: Convert to fraction form
    292.85/438.62 = 155.55/x
  3. Step 3: Cross multiply
    292.85x = 438.62 × 155.55
  4. Step 4: Simplify right side
    292.85x = 68,228.21
  5. Step 5: Solve for x
    x = 68,228.21/292.85
  6. Step 6: Final answer
    x = 232.98

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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.