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Finding the Fourth Proportional to 288.66, 435.56 and 277.41

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Solution

The fourth proportional to 288.66, 435.56 and 277.41 is: 418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.66 : 435.56 = 277.41 : x
  2. Step 2: Convert to fraction form
    288.66/435.56 = 277.41/x
  3. Step 3: Cross multiply
    288.66x = 435.56 × 277.41
  4. Step 4: Simplify right side
    288.66x = 120,829.39
  5. Step 5: Solve for x
    x = 120,829.39/288.66
  6. Step 6: Final answer
    x = 418.59

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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.