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Finding the Fourth Proportional to 340.50, 469.86 and 209.49

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Solution

The fourth proportional to 340.50, 469.86 and 209.49 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 469.86 = 209.49 : x
  2. Step 2: Convert to fraction form
    340.50/469.86 = 209.49/x
  3. Step 3: Cross multiply
    340.50x = 469.86 × 209.49
  4. Step 4: Simplify right side
    340.50x = 98,430.97
  5. Step 5: Solve for x
    x = 98,430.97/340.50
  6. Step 6: Final answer
    x = 289.08

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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.