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Finding the Fourth Proportional to 288.76, 434.84 and 208.16

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Solution

The fourth proportional to 288.76, 434.84 and 208.16 is: 313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 434.84 = 208.16 : x
  2. Step 2: Convert to fraction form
    288.76/434.84 = 208.16/x
  3. Step 3: Cross multiply
    288.76x = 434.84 × 208.16
  4. Step 4: Simplify right side
    288.76x = 90,515.25
  5. Step 5: Solve for x
    x = 90,515.25/288.76
  6. Step 6: Final answer
    x = 313.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.