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Finding the Fourth Proportional to 377.88, 564.50 and 316.36

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Solution

The fourth proportional to 377.88, 564.50 and 316.36 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.88 : 564.50 = 316.36 : x
  2. Step 2: Convert to fraction form
    377.88/564.50 = 316.36/x
  3. Step 3: Cross multiply
    377.88x = 564.50 × 316.36
  4. Step 4: Simplify right side
    377.88x = 178,585.22
  5. Step 5: Solve for x
    x = 178,585.22/377.88
  6. Step 6: Final answer
    x = 472.60

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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.