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Finding the Fourth Proportional to 340.68, 469.86 and 209.64

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Solution

The fourth proportional to 340.68, 469.86 and 209.64 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.68 : 469.86 = 209.64 : x
  2. Step 2: Convert to fraction form
    340.68/469.86 = 209.64/x
  3. Step 3: Cross multiply
    340.68x = 469.86 × 209.64
  4. Step 4: Simplify right side
    340.68x = 98,501.45
  5. Step 5: Solve for x
    x = 98,501.45/340.68
  6. Step 6: Final answer
    x = 289.13

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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.