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Finding the Fourth Proportional to 446.40, 672 and 406.08

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Solution

The fourth proportional to 446.40, 672 and 406.08 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 672 = 406.08 : x
  2. Step 2: Convert to fraction form
    446.40/672 = 406.08/x
  3. Step 3: Cross multiply
    446.40x = 672 × 406.08
  4. Step 4: Simplify right side
    446.40x = 272,885.76
  5. Step 5: Solve for x
    x = 272,885.76/446.40
  6. Step 6: Final answer
    x = 611.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.