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Finding the Fourth Proportional to 497.62, 745.98 and 189.46

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Solution

The fourth proportional to 497.62, 745.98 and 189.46 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.62 : 745.98 = 189.46 : x
  2. Step 2: Convert to fraction form
    497.62/745.98 = 189.46/x
  3. Step 3: Cross multiply
    497.62x = 745.98 × 189.46
  4. Step 4: Simplify right side
    497.62x = 141,333.37
  5. Step 5: Solve for x
    x = 141,333.37/497.62
  6. Step 6: Final answer
    x = 284.02

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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.