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Finding the Fourth Proportional to 46.17, 69.29 and 45.83

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Solution

The fourth proportional to 46.17, 69.29 and 45.83 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.17 : 69.29 = 45.83 : x
  2. Step 2: Convert to fraction form
    46.17/69.29 = 45.83/x
  3. Step 3: Cross multiply
    46.17x = 69.29 × 45.83
  4. Step 4: Simplify right side
    46.17x = 3,174.99
  5. Step 5: Solve for x
    x = 3,174.99/46.17
  6. Step 6: Final answer
    x = 68.77

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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.