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Finding the Fourth Proportional to 466.08, 642.70 and 361.02

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Solution

The fourth proportional to 466.08, 642.70 and 361.02 is: 497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.08 : 642.70 = 361.02 : x
  2. Step 2: Convert to fraction form
    466.08/642.70 = 361.02/x
  3. Step 3: Cross multiply
    466.08x = 642.70 × 361.02
  4. Step 4: Simplify right side
    466.08x = 232,027.55
  5. Step 5: Solve for x
    x = 232,027.55/466.08
  6. Step 6: Final answer
    x = 497.83

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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.