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Finding the Fourth Proportional to 419.84, 628.29 and 309.90

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Solution

The fourth proportional to 419.84, 628.29 and 309.90 is: 463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 628.29 = 309.90 : x
  2. Step 2: Convert to fraction form
    419.84/628.29 = 309.90/x
  3. Step 3: Cross multiply
    419.84x = 628.29 × 309.90
  4. Step 4: Simplify right side
    419.84x = 194,707.07
  5. Step 5: Solve for x
    x = 194,707.07/419.84
  6. Step 6: Final answer
    x = 463.77

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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.