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Finding the Fourth Proportional to 500.67, 750.90 and 281.51

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Solution

The fourth proportional to 500.67, 750.90 and 281.51 is: 422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 750.90 = 281.51 : x
  2. Step 2: Convert to fraction form
    500.67/750.90 = 281.51/x
  3. Step 3: Cross multiply
    500.67x = 750.90 × 281.51
  4. Step 4: Simplify right side
    500.67x = 211,385.86
  5. Step 5: Solve for x
    x = 211,385.86/500.67
  6. Step 6: Final answer
    x = 422.21

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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.