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Finding the Fourth Proportional to 456.90, 630.60 and 299.40

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Solution

The fourth proportional to 456.90, 630.60 and 299.40 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 630.60 = 299.40 : x
  2. Step 2: Convert to fraction form
    456.90/630.60 = 299.40/x
  3. Step 3: Cross multiply
    456.90x = 630.60 × 299.40
  4. Step 4: Simplify right side
    456.90x = 188,801.64
  5. Step 5: Solve for x
    x = 188,801.64/456.90
  6. Step 6: Final answer
    x = 413.22

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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.