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Finding the Fourth Proportional to 461.45, 692.16 and 114.78

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Solution

The fourth proportional to 461.45, 692.16 and 114.78 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.45 : 692.16 = 114.78 : x
  2. Step 2: Convert to fraction form
    461.45/692.16 = 114.78/x
  3. Step 3: Cross multiply
    461.45x = 692.16 × 114.78
  4. Step 4: Simplify right side
    461.45x = 79,448.29
  5. Step 5: Solve for x
    x = 79,448.29/461.45
  6. Step 6: Final answer
    x = 172.17

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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.