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Finding the Fourth Proportional to 259.17, 357.57 and 155.67

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Solution

The fourth proportional to 259.17, 357.57 and 155.67 is: 214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.17 : 357.57 = 155.67 : x
  2. Step 2: Convert to fraction form
    259.17/357.57 = 155.67/x
  3. Step 3: Cross multiply
    259.17x = 357.57 × 155.67
  4. Step 4: Simplify right side
    259.17x = 55,662.92
  5. Step 5: Solve for x
    x = 55,662.92/259.17
  6. Step 6: Final answer
    x = 214.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.