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Finding the Fourth Proportional to 499.96, 750.40 and 256.64

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Solution

The fourth proportional to 499.96, 750.40 and 256.64 is: 385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.96 : 750.40 = 256.64 : x
  2. Step 2: Convert to fraction form
    499.96/750.40 = 256.64/x
  3. Step 3: Cross multiply
    499.96x = 750.40 × 256.64
  4. Step 4: Simplify right side
    499.96x = 192,582.66
  5. Step 5: Solve for x
    x = 192,582.66/499.96
  6. Step 6: Final answer
    x = 385.20

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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.