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Finding the Fourth Proportional to 340.54, 469.92 and 209.53

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Solution

The fourth proportional to 340.54, 469.92 and 209.53 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.54 : 469.92 = 209.53 : x
  2. Step 2: Convert to fraction form
    340.54/469.92 = 209.53/x
  3. Step 3: Cross multiply
    340.54x = 469.92 × 209.53
  4. Step 4: Simplify right side
    340.54x = 98,462.34
  5. Step 5: Solve for x
    x = 98,462.34/340.54
  6. Step 6: Final answer
    x = 289.14

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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.