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Finding the Fourth Proportional to 320.12, 478.15 and 284.28

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Solution

The fourth proportional to 320.12, 478.15 and 284.28 is: 424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.12 : 478.15 = 284.28 : x
  2. Step 2: Convert to fraction form
    320.12/478.15 = 284.28/x
  3. Step 3: Cross multiply
    320.12x = 478.15 × 284.28
  4. Step 4: Simplify right side
    320.12x = 135,928.48
  5. Step 5: Solve for x
    x = 135,928.48/320.12
  6. Step 6: Final answer
    x = 424.62

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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.