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Finding the Fourth Proportional to 480.40, 720.46 and 155.72

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Solution

The fourth proportional to 480.40, 720.46 and 155.72 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 720.46 = 155.72 : x
  2. Step 2: Convert to fraction form
    480.40/720.46 = 155.72/x
  3. Step 3: Cross multiply
    480.40x = 720.46 × 155.72
  4. Step 4: Simplify right side
    480.40x = 112,192.03
  5. Step 5: Solve for x
    x = 112,192.03/480.40
  6. Step 6: Final answer
    x = 233.54

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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.