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Finding the Fourth Proportional to 364.43, 501.59 and 311.78

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Solution

The fourth proportional to 364.43, 501.59 and 311.78 is: 429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.43 : 501.59 = 311.78 : x
  2. Step 2: Convert to fraction form
    364.43/501.59 = 311.78/x
  3. Step 3: Cross multiply
    364.43x = 501.59 × 311.78
  4. Step 4: Simplify right side
    364.43x = 156,387.76
  5. Step 5: Solve for x
    x = 156,387.76/364.43
  6. Step 6: Final answer
    x = 429.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.