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Finding the Fourth Proportional to 480, 719.76 and 191.36

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Solution

The fourth proportional to 480, 719.76 and 191.36 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 719.76 = 191.36 : x
  2. Step 2: Convert to fraction form
    480/719.76 = 191.36/x
  3. Step 3: Cross multiply
    480x = 719.76 × 191.36
  4. Step 4: Simplify right side
    480x = 137,733.27
  5. Step 5: Solve for x
    x = 137,733.27/480
  6. Step 6: Final answer
    x = 286.94

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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.