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Finding the Fourth Proportional to 452.16, 678.12 and 315.24

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Solution

The fourth proportional to 452.16, 678.12 and 315.24 is: 472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.16 : 678.12 = 315.24 : x
  2. Step 2: Convert to fraction form
    452.16/678.12 = 315.24/x
  3. Step 3: Cross multiply
    452.16x = 678.12 × 315.24
  4. Step 4: Simplify right side
    452.16x = 213,770.55
  5. Step 5: Solve for x
    x = 213,770.55/452.16
  6. Step 6: Final answer
    x = 472.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.