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Finding the Fourth Proportional to 421.84, 631.68 and 352.99

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Solution

The fourth proportional to 421.84, 631.68 and 352.99 is: 528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.84 : 631.68 = 352.99 : x
  2. Step 2: Convert to fraction form
    421.84/631.68 = 352.99/x
  3. Step 3: Cross multiply
    421.84x = 631.68 × 352.99
  4. Step 4: Simplify right side
    421.84x = 222,976.72
  5. Step 5: Solve for x
    x = 222,976.72/421.84
  6. Step 6: Final answer
    x = 528.58

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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.