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Finding the Fourth Proportional to 259.85, 389.57 and 178.45

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Solution

The fourth proportional to 259.85, 389.57 and 178.45 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.85 : 389.57 = 178.45 : x
  2. Step 2: Convert to fraction form
    259.85/389.57 = 178.45/x
  3. Step 3: Cross multiply
    259.85x = 389.57 × 178.45
  4. Step 4: Simplify right side
    259.85x = 69,518.77
  5. Step 5: Solve for x
    x = 69,518.77/259.85
  6. Step 6: Final answer
    x = 267.53

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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.