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Finding the Fourth Proportional to 499.34, 747.12 and 304.40

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Solution

The fourth proportional to 499.34, 747.12 and 304.40 is: 455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.34 : 747.12 = 304.40 : x
  2. Step 2: Convert to fraction form
    499.34/747.12 = 304.40/x
  3. Step 3: Cross multiply
    499.34x = 747.12 × 304.40
  4. Step 4: Simplify right side
    499.34x = 227,423.33
  5. Step 5: Solve for x
    x = 227,423.33/499.34
  6. Step 6: Final answer
    x = 455.45

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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.