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Finding the Fourth Proportional to 461.55, 692.07 and 153.36

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Solution

The fourth proportional to 461.55, 692.07 and 153.36 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 692.07 = 153.36 : x
  2. Step 2: Convert to fraction form
    461.55/692.07 = 153.36/x
  3. Step 3: Cross multiply
    461.55x = 692.07 × 153.36
  4. Step 4: Simplify right side
    461.55x = 106,135.86
  5. Step 5: Solve for x
    x = 106,135.86/461.55
  6. Step 6: Final answer
    x = 229.96

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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.