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Finding the Fourth Proportional to 155.17, 232.68 and 46.93

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Solution

The fourth proportional to 155.17, 232.68 and 46.93 is: 70.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.17 : 232.68 = 46.93 : x
  2. Step 2: Convert to fraction form
    155.17/232.68 = 46.93/x
  3. Step 3: Cross multiply
    155.17x = 232.68 × 46.93
  4. Step 4: Simplify right side
    155.17x = 10,919.73
  5. Step 5: Solve for x
    x = 10,919.73/155.17
  6. Step 6: Final answer
    x = 70.37

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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.