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Finding the Fourth Proportional to 480.42, 720.14 and 307.28

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Solution

The fourth proportional to 480.42, 720.14 and 307.28 is: 460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.42 : 720.14 = 307.28 : x
  2. Step 2: Convert to fraction form
    480.42/720.14 = 307.28/x
  3. Step 3: Cross multiply
    480.42x = 720.14 × 307.28
  4. Step 4: Simplify right side
    480.42x = 221,287.19
  5. Step 5: Solve for x
    x = 221,287.19/480.42
  6. Step 6: Final answer
    x = 460.61

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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.