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Finding the Fourth Proportional to 452.16, 678.40 and 342.32

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Solution

The fourth proportional to 452.16, 678.40 and 342.32 is: 513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.16 : 678.40 = 342.32 : x
  2. Step 2: Convert to fraction form
    452.16/678.40 = 342.32/x
  3. Step 3: Cross multiply
    452.16x = 678.40 × 342.32
  4. Step 4: Simplify right side
    452.16x = 232,229.89
  5. Step 5: Solve for x
    x = 232,229.89/452.16
  6. Step 6: Final answer
    x = 513.60

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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.