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Finding the Fourth Proportional to 480.29, 720.31 and 155.75

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Solution

The fourth proportional to 480.29, 720.31 and 155.75 is: 233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.29 : 720.31 = 155.75 : x
  2. Step 2: Convert to fraction form
    480.29/720.31 = 155.75/x
  3. Step 3: Cross multiply
    480.29x = 720.31 × 155.75
  4. Step 4: Simplify right side
    480.29x = 112,184.29
  5. Step 5: Solve for x
    x = 112,184.29/480.29
  6. Step 6: Final answer
    x = 233.58

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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.