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Finding the Fourth Proportional to 290.90, 434.68 and 253.84

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Solution

The fourth proportional to 290.90, 434.68 and 253.84 is: 379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.90 : 434.68 = 253.84 : x
  2. Step 2: Convert to fraction form
    290.90/434.68 = 253.84/x
  3. Step 3: Cross multiply
    290.90x = 434.68 × 253.84
  4. Step 4: Simplify right side
    290.90x = 110,339.17
  5. Step 5: Solve for x
    x = 110,339.17/290.90
  6. Step 6: Final answer
    x = 379.30

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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.