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Finding the Fourth Proportional to 407, 610.50 and 118.44

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Solution

The fourth proportional to 407, 610.50 and 118.44 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 610.50 = 118.44 : x
  2. Step 2: Convert to fraction form
    407/610.50 = 118.44/x
  3. Step 3: Cross multiply
    407x = 610.50 × 118.44
  4. Step 4: Simplify right side
    407x = 72,307.62
  5. Step 5: Solve for x
    x = 72,307.62/407
  6. Step 6: Final answer
    x = 177.66

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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.