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Finding the Fourth Proportional to 466.92, 700.46 and 142.32

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Solution

The fourth proportional to 466.92, 700.46 and 142.32 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.92 : 700.46 = 142.32 : x
  2. Step 2: Convert to fraction form
    466.92/700.46 = 142.32/x
  3. Step 3: Cross multiply
    466.92x = 700.46 × 142.32
  4. Step 4: Simplify right side
    466.92x = 99,689.47
  5. Step 5: Solve for x
    x = 99,689.47/466.92
  6. Step 6: Final answer
    x = 213.50

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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.