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Finding the Fourth Proportional to 340.07, 469.40 and 209.12

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Solution

The fourth proportional to 340.07, 469.40 and 209.12 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.07 : 469.40 = 209.12 : x
  2. Step 2: Convert to fraction form
    340.07/469.40 = 209.12/x
  3. Step 3: Cross multiply
    340.07x = 469.40 × 209.12
  4. Step 4: Simplify right side
    340.07x = 98,157.54
  5. Step 5: Solve for x
    x = 98,157.54/340.07
  6. Step 6: Final answer
    x = 288.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.