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Finding the Fourth Proportional to 157.89, 219.63 and 154.92

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Solution

The fourth proportional to 157.89, 219.63 and 154.92 is: 215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.89 : 219.63 = 154.92 : x
  2. Step 2: Convert to fraction form
    157.89/219.63 = 154.92/x
  3. Step 3: Cross multiply
    157.89x = 219.63 × 154.92
  4. Step 4: Simplify right side
    157.89x = 34,025.08
  5. Step 5: Solve for x
    x = 34,025.08/157.89
  6. Step 6: Final answer
    x = 215.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.