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Finding the Fourth Proportional to 292.54, 439.00 and 155.68

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Solution

The fourth proportional to 292.54, 439.00 and 155.68 is: 233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.54 : 439.00 = 155.68 : x
  2. Step 2: Convert to fraction form
    292.54/439.00 = 155.68/x
  3. Step 3: Cross multiply
    292.54x = 439.00 × 155.68
  4. Step 4: Simplify right side
    292.54x = 68,344.26
  5. Step 5: Solve for x
    x = 68,344.26/292.54
  6. Step 6: Final answer
    x = 233.62

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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.