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Finding the Fourth Proportional to 320.50, 478.16 and 285.88

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Solution

The fourth proportional to 320.50, 478.16 and 285.88 is: 426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.50 : 478.16 = 285.88 : x
  2. Step 2: Convert to fraction form
    320.50/478.16 = 285.88/x
  3. Step 3: Cross multiply
    320.50x = 478.16 × 285.88
  4. Step 4: Simplify right side
    320.50x = 136,696.38
  5. Step 5: Solve for x
    x = 136,696.38/320.50
  6. Step 6: Final answer
    x = 426.51

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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.