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Finding the Fourth Proportional to 480.10, 719.68 and 206.26

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Solution

The fourth proportional to 480.10, 719.68 and 206.26 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.10 : 719.68 = 206.26 : x
  2. Step 2: Convert to fraction form
    480.10/719.68 = 206.26/x
  3. Step 3: Cross multiply
    480.10x = 719.68 × 206.26
  4. Step 4: Simplify right side
    480.10x = 148,441.20
  5. Step 5: Solve for x
    x = 148,441.20/480.10
  6. Step 6: Final answer
    x = 309.19

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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.