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Finding the Fourth Proportional to 468.16, 701.90 and 143.35

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Solution

The fourth proportional to 468.16, 701.90 and 143.35 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 701.90 = 143.35 : x
  2. Step 2: Convert to fraction form
    468.16/701.90 = 143.35/x
  3. Step 3: Cross multiply
    468.16x = 701.90 × 143.35
  4. Step 4: Simplify right side
    468.16x = 100,613.14
  5. Step 5: Solve for x
    x = 100,613.14/468.16
  6. Step 6: Final answer
    x = 214.91

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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.