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Finding the Fourth Proportional to 415.04, 621.99 and 209.16

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Solution

The fourth proportional to 415.04, 621.99 and 209.16 is: 313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.04 : 621.99 = 209.16 : x
  2. Step 2: Convert to fraction form
    415.04/621.99 = 209.16/x
  3. Step 3: Cross multiply
    415.04x = 621.99 × 209.16
  4. Step 4: Simplify right side
    415.04x = 130,095.43
  5. Step 5: Solve for x
    x = 130,095.43/415.04
  6. Step 6: Final answer
    x = 313.46

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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.