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Finding the Fourth Proportional to 440.02, 659.15 and 209.13

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Solution

The fourth proportional to 440.02, 659.15 and 209.13 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.02 : 659.15 = 209.13 : x
  2. Step 2: Convert to fraction form
    440.02/659.15 = 209.13/x
  3. Step 3: Cross multiply
    440.02x = 659.15 × 209.13
  4. Step 4: Simplify right side
    440.02x = 137,848.65
  5. Step 5: Solve for x
    x = 137,848.65/440.02
  6. Step 6: Final answer
    x = 313.28

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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.