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Finding the Fourth Proportional to 497.02, 745.17 and 236.86

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Solution

The fourth proportional to 497.02, 745.17 and 236.86 is: 355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 745.17 = 236.86 : x
  2. Step 2: Convert to fraction form
    497.02/745.17 = 236.86/x
  3. Step 3: Cross multiply
    497.02x = 745.17 × 236.86
  4. Step 4: Simplify right side
    497.02x = 176,500.97
  5. Step 5: Solve for x
    x = 176,500.97/497.02
  6. Step 6: Final answer
    x = 355.12

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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.