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Finding the Fourth Proportional to 476.32, 657.20 and 321.04

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Solution

The fourth proportional to 476.32, 657.20 and 321.04 is: 442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.32 : 657.20 = 321.04 : x
  2. Step 2: Convert to fraction form
    476.32/657.20 = 321.04/x
  3. Step 3: Cross multiply
    476.32x = 657.20 × 321.04
  4. Step 4: Simplify right side
    476.32x = 210,987.49
  5. Step 5: Solve for x
    x = 210,987.49/476.32
  6. Step 6: Final answer
    x = 442.95

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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.