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Finding the Fourth Proportional to 499.05, 747.06 and 316.20

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Solution

The fourth proportional to 499.05, 747.06 and 316.20 is: 473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.05 : 747.06 = 316.20 : x
  2. Step 2: Convert to fraction form
    499.05/747.06 = 316.20/x
  3. Step 3: Cross multiply
    499.05x = 747.06 × 316.20
  4. Step 4: Simplify right side
    499.05x = 236,220.37
  5. Step 5: Solve for x
    x = 236,220.37/499.05
  6. Step 6: Final answer
    x = 473.34

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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.