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Finding the Fourth Proportional to 319.35, 478.40 and 284.95

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Solution

The fourth proportional to 319.35, 478.40 and 284.95 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.35 : 478.40 = 284.95 : x
  2. Step 2: Convert to fraction form
    319.35/478.40 = 284.95/x
  3. Step 3: Cross multiply
    319.35x = 478.40 × 284.95
  4. Step 4: Simplify right side
    319.35x = 136,320.08
  5. Step 5: Solve for x
    x = 136,320.08/319.35
  6. Step 6: Final answer
    x = 426.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.