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Finding the Fourth Proportional to 377.46, 563.69 and 316.13

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Solution

The fourth proportional to 377.46, 563.69 and 316.13 is: 472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.46 : 563.69 = 316.13 : x
  2. Step 2: Convert to fraction form
    377.46/563.69 = 316.13/x
  3. Step 3: Cross multiply
    377.46x = 563.69 × 316.13
  4. Step 4: Simplify right side
    377.46x = 178,197.29
  5. Step 5: Solve for x
    x = 178,197.29/377.46
  6. Step 6: Final answer
    x = 472.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.