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Finding the Fourth Proportional to 340.86, 470.50 and 209.91

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Solution

The fourth proportional to 340.86, 470.50 and 209.91 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.86 : 470.50 = 209.91 : x
  2. Step 2: Convert to fraction form
    340.86/470.50 = 209.91/x
  3. Step 3: Cross multiply
    340.86x = 470.50 × 209.91
  4. Step 4: Simplify right side
    340.86x = 98,762.13
  5. Step 5: Solve for x
    x = 98,762.13/340.86
  6. Step 6: Final answer
    x = 289.74

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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.