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Finding the Fourth Proportional to 423.16, 631.31 and 376.99

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Solution

The fourth proportional to 423.16, 631.31 and 376.99 is: 562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 631.31 = 376.99 : x
  2. Step 2: Convert to fraction form
    423.16/631.31 = 376.99/x
  3. Step 3: Cross multiply
    423.16x = 631.31 × 376.99
  4. Step 4: Simplify right side
    423.16x = 237,994.09
  5. Step 5: Solve for x
    x = 237,994.09/423.16
  6. Step 6: Final answer
    x = 562.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.