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Finding the Fourth Proportional to 321.63, 478.59 and 320.55

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Solution

The fourth proportional to 321.63, 478.59 and 320.55 is: 476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.63 : 478.59 = 320.55 : x
  2. Step 2: Convert to fraction form
    321.63/478.59 = 320.55/x
  3. Step 3: Cross multiply
    321.63x = 478.59 × 320.55
  4. Step 4: Simplify right side
    321.63x = 153,412.02
  5. Step 5: Solve for x
    x = 153,412.02/321.63
  6. Step 6: Final answer
    x = 476.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.