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Finding the Fourth Proportional to 313.61, 432.96 and 208.84

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Solution

The fourth proportional to 313.61, 432.96 and 208.84 is: 288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 432.96 = 208.84 : x
  2. Step 2: Convert to fraction form
    313.61/432.96 = 208.84/x
  3. Step 3: Cross multiply
    313.61x = 432.96 × 208.84
  4. Step 4: Simplify right side
    313.61x = 90,418.28
  5. Step 5: Solve for x
    x = 90,418.28/313.61
  6. Step 6: Final answer
    x = 288.32

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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.