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Finding the Fourth Proportional to 319.46, 478.98 and 154.83

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Solution

The fourth proportional to 319.46, 478.98 and 154.83 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.46 : 478.98 = 154.83 : x
  2. Step 2: Convert to fraction form
    319.46/478.98 = 154.83/x
  3. Step 3: Cross multiply
    319.46x = 478.98 × 154.83
  4. Step 4: Simplify right side
    319.46x = 74,159.58
  5. Step 5: Solve for x
    x = 74,159.58/319.46
  6. Step 6: Final answer
    x = 232.14

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