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Finding the Fourth Proportional to 313.49, 432.77 and 208.75

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Solution

The fourth proportional to 313.49, 432.77 and 208.75 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 432.77 = 208.75 : x
  2. Step 2: Convert to fraction form
    313.49/432.77 = 208.75/x
  3. Step 3: Cross multiply
    313.49x = 432.77 × 208.75
  4. Step 4: Simplify right side
    313.49x = 90,339.69
  5. Step 5: Solve for x
    x = 90,339.69/313.49
  6. Step 6: Final answer
    x = 288.17

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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.