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Finding the Fourth Proportional to 463.76, 639.60 and 360.08

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Solution

The fourth proportional to 463.76, 639.60 and 360.08 is: 496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 639.60 = 360.08 : x
  2. Step 2: Convert to fraction form
    463.76/639.60 = 360.08/x
  3. Step 3: Cross multiply
    463.76x = 639.60 × 360.08
  4. Step 4: Simplify right side
    463.76x = 230,307.17
  5. Step 5: Solve for x
    x = 230,307.17/463.76
  6. Step 6: Final answer
    x = 496.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.