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Finding the Fourth Proportional to 340.49, 469.84 and 209.50

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Solution

The fourth proportional to 340.49, 469.84 and 209.50 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.49 : 469.84 = 209.50 : x
  2. Step 2: Convert to fraction form
    340.49/469.84 = 209.50/x
  3. Step 3: Cross multiply
    340.49x = 469.84 × 209.50
  4. Step 4: Simplify right side
    340.49x = 98,428.08
  5. Step 5: Solve for x
    x = 98,428.08/340.49
  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.