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Finding the Fourth Proportional to 420.84, 631.17 and 245.04

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Solution

The fourth proportional to 420.84, 631.17 and 245.04 is: 367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 631.17 = 245.04 : x
  2. Step 2: Convert to fraction form
    420.84/631.17 = 245.04/x
  3. Step 3: Cross multiply
    420.84x = 631.17 × 245.04
  4. Step 4: Simplify right side
    420.84x = 154,661.90
  5. Step 5: Solve for x
    x = 154,661.90/420.84
  6. Step 6: Final answer
    x = 367.51

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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.