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Finding the Fourth Proportional to 259.88, 389.76 and 155.80

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Solution

The fourth proportional to 259.88, 389.76 and 155.80 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 389.76 = 155.80 : x
  2. Step 2: Convert to fraction form
    259.88/389.76 = 155.80/x
  3. Step 3: Cross multiply
    259.88x = 389.76 × 155.80
  4. Step 4: Simplify right side
    259.88x = 60,724.61
  5. Step 5: Solve for x
    x = 60,724.61/259.88
  6. Step 6: Final answer
    x = 233.66

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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.