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Finding the Fourth Proportional to 290.28, 432.49 and 274.79

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Solution

The fourth proportional to 290.28, 432.49 and 274.79 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.28 : 432.49 = 274.79 : x
  2. Step 2: Convert to fraction form
    290.28/432.49 = 274.79/x
  3. Step 3: Cross multiply
    290.28x = 432.49 × 274.79
  4. Step 4: Simplify right side
    290.28x = 118,844.84
  5. Step 5: Solve for x
    x = 118,844.84/290.28
  6. Step 6: Final answer
    x = 409.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.