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Finding the Fourth Proportional to 480.06, 719.64 and 191.25

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Solution

The fourth proportional to 480.06, 719.64 and 191.25 is: 286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.06 : 719.64 = 191.25 : x
  2. Step 2: Convert to fraction form
    480.06/719.64 = 191.25/x
  3. Step 3: Cross multiply
    480.06x = 719.64 × 191.25
  4. Step 4: Simplify right side
    480.06x = 137,631.15
  5. Step 5: Solve for x
    x = 137,631.15/480.06
  6. Step 6: Final answer
    x = 286.70

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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.