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Finding the Fourth Proportional to 497.43, 745.85 and 189.08

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Solution

The fourth proportional to 497.43, 745.85 and 189.08 is: 283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.43 : 745.85 = 189.08 : x
  2. Step 2: Convert to fraction form
    497.43/745.85 = 189.08/x
  3. Step 3: Cross multiply
    497.43x = 745.85 × 189.08
  4. Step 4: Simplify right side
    497.43x = 141,024.86
  5. Step 5: Solve for x
    x = 141,024.86/497.43
  6. Step 6: Final answer
    x = 283.51

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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.