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Finding the Fourth Proportional to 364.48, 499.71 and 357.92

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Solution

The fourth proportional to 364.48, 499.71 and 357.92 is: 490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.48 : 499.71 = 357.92 : x
  2. Step 2: Convert to fraction form
    364.48/499.71 = 357.92/x
  3. Step 3: Cross multiply
    364.48x = 499.71 × 357.92
  4. Step 4: Simplify right side
    364.48x = 178,856.42
  5. Step 5: Solve for x
    x = 178,856.42/364.48
  6. Step 6: Final answer
    x = 490.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.