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Finding the Fourth Proportional to 314.16, 433.53 and 209.13

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Solution

The fourth proportional to 314.16, 433.53 and 209.13 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 433.53 = 209.13 : x
  2. Step 2: Convert to fraction form
    314.16/433.53 = 209.13/x
  3. Step 3: Cross multiply
    314.16x = 433.53 × 209.13
  4. Step 4: Simplify right side
    314.16x = 90,664.13
  5. Step 5: Solve for x
    x = 90,664.13/314.16
  6. Step 6: Final answer
    x = 288.59

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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.