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Finding the Fourth Proportional to 404.11, 557.31 and 316.63

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Solution

The fourth proportional to 404.11, 557.31 and 316.63 is: 436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.11 : 557.31 = 316.63 : x
  2. Step 2: Convert to fraction form
    404.11/557.31 = 316.63/x
  3. Step 3: Cross multiply
    404.11x = 557.31 × 316.63
  4. Step 4: Simplify right side
    404.11x = 176,461.07
  5. Step 5: Solve for x
    x = 176,461.07/404.11
  6. Step 6: Final answer
    x = 436.67

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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.