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Finding the Fourth Proportional to 480.19, 719.76 and 274.32

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Solution

The fourth proportional to 480.19, 719.76 and 274.32 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.19 : 719.76 = 274.32 : x
  2. Step 2: Convert to fraction form
    480.19/719.76 = 274.32/x
  3. Step 3: Cross multiply
    480.19x = 719.76 × 274.32
  4. Step 4: Simplify right side
    480.19x = 197,444.56
  5. Step 5: Solve for x
    x = 197,444.56/480.19
  6. Step 6: Final answer
    x = 411.18

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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.