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Finding the Fourth Proportional to 419.10, 630.84 and 356.46

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Solution

The fourth proportional to 419.10, 630.84 and 356.46 is: 536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 630.84 = 356.46 : x
  2. Step 2: Convert to fraction form
    419.10/630.84 = 356.46/x
  3. Step 3: Cross multiply
    419.10x = 630.84 × 356.46
  4. Step 4: Simplify right side
    419.10x = 224,869.23
  5. Step 5: Solve for x
    x = 224,869.23/419.10
  6. Step 6: Final answer
    x = 536.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.