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Finding the Fourth Proportional to 497.20, 745.70 and 237.20

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Solution

The fourth proportional to 497.20, 745.70 and 237.20 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.20 : 745.70 = 237.20 : x
  2. Step 2: Convert to fraction form
    497.20/745.70 = 237.20/x
  3. Step 3: Cross multiply
    497.20x = 745.70 × 237.20
  4. Step 4: Simplify right side
    497.20x = 176,880.04
  5. Step 5: Solve for x
    x = 176,880.04/497.20
  6. Step 6: Final answer
    x = 355.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.