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Finding the Fourth Proportional to 497.18, 744.77 and 237.43

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Solution

The fourth proportional to 497.18, 744.77 and 237.43 is: 355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.18 : 744.77 = 237.43 : x
  2. Step 2: Convert to fraction form
    497.18/744.77 = 237.43/x
  3. Step 3: Cross multiply
    497.18x = 744.77 × 237.43
  4. Step 4: Simplify right side
    497.18x = 176,830.74
  5. Step 5: Solve for x
    x = 176,830.74/497.18
  6. Step 6: Final answer
    x = 355.67

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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.