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Finding the Fourth Proportional to 319.59, 478.88 and 238.02

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Solution

The fourth proportional to 319.59, 478.88 and 238.02 is: 356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 478.88 = 238.02 : x
  2. Step 2: Convert to fraction form
    319.59/478.88 = 238.02/x
  3. Step 3: Cross multiply
    319.59x = 478.88 × 238.02
  4. Step 4: Simplify right side
    319.59x = 113,981.83
  5. Step 5: Solve for x
    x = 113,981.83/319.59
  6. Step 6: Final answer
    x = 356.65

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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.