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Finding the Fourth Proportional to 461.48, 692.30 and 136.81

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Solution

The fourth proportional to 461.48, 692.30 and 136.81 is: 205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 692.30 = 136.81 : x
  2. Step 2: Convert to fraction form
    461.48/692.30 = 136.81/x
  3. Step 3: Cross multiply
    461.48x = 692.30 × 136.81
  4. Step 4: Simplify right side
    461.48x = 94,712.17
  5. Step 5: Solve for x
    x = 94,712.17/461.48
  6. Step 6: Final answer
    x = 205.24

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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.