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Finding the Fourth Proportional to 419.95, 630.26 and 214.65

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Solution

The fourth proportional to 419.95, 630.26 and 214.65 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.95 : 630.26 = 214.65 : x
  2. Step 2: Convert to fraction form
    419.95/630.26 = 214.65/x
  3. Step 3: Cross multiply
    419.95x = 630.26 × 214.65
  4. Step 4: Simplify right side
    419.95x = 135,285.31
  5. Step 5: Solve for x
    x = 135,285.31/419.95
  6. Step 6: Final answer
    x = 322.15

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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.