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Finding the Fourth Proportional to 287.29, 431.03 and 209.06

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Solution

The fourth proportional to 287.29, 431.03 and 209.06 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.29 : 431.03 = 209.06 : x
  2. Step 2: Convert to fraction form
    287.29/431.03 = 209.06/x
  3. Step 3: Cross multiply
    287.29x = 431.03 × 209.06
  4. Step 4: Simplify right side
    287.29x = 90,111.13
  5. Step 5: Solve for x
    x = 90,111.13/287.29
  6. Step 6: Final answer
    x = 313.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.