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Finding the Fourth Proportional to 480.46, 719.75 and 249.00

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Solution

The fourth proportional to 480.46, 719.75 and 249.00 is: 373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.46 : 719.75 = 249.00 : x
  2. Step 2: Convert to fraction form
    480.46/719.75 = 249.00/x
  3. Step 3: Cross multiply
    480.46x = 719.75 × 249.00
  4. Step 4: Simplify right side
    480.46x = 179,212.91
  5. Step 5: Solve for x
    x = 179,212.91/480.46
  6. Step 6: Final answer
    x = 373.01

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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.