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Finding the Fourth Proportional to 480, 720.16 and 274.32

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Solution

The fourth proportional to 480, 720.16 and 274.32 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 720.16 = 274.32 : x
  2. Step 2: Convert to fraction form
    480/720.16 = 274.32/x
  3. Step 3: Cross multiply
    480x = 720.16 × 274.32
  4. Step 4: Simplify right side
    480x = 197,554.29
  5. Step 5: Solve for x
    x = 197,554.29/480
  6. Step 6: Final answer
    x = 411.57

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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.