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Finding the Fourth Proportional to 340.61, 469.70 and 209.59

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Solution

The fourth proportional to 340.61, 469.70 and 209.59 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 469.70 = 209.59 : x
  2. Step 2: Convert to fraction form
    340.61/469.70 = 209.59/x
  3. Step 3: Cross multiply
    340.61x = 469.70 × 209.59
  4. Step 4: Simplify right side
    340.61x = 98,442.99
  5. Step 5: Solve for x
    x = 98,442.99/340.61
  6. Step 6: Final answer
    x = 289.02

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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.