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Finding the Fourth Proportional to 500.11, 750.57 and 256.70

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Solution

The fourth proportional to 500.11, 750.57 and 256.70 is: 385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.11 : 750.57 = 256.70 : x
  2. Step 2: Convert to fraction form
    500.11/750.57 = 256.70/x
  3. Step 3: Cross multiply
    500.11x = 750.57 × 256.70
  4. Step 4: Simplify right side
    500.11x = 192,672.23
  5. Step 5: Solve for x
    x = 192,672.23/500.11
  6. Step 6: Final answer
    x = 385.26

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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.