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Finding the Fourth Proportional to 290.13, 434.58 and 135.84

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Solution

The fourth proportional to 290.13, 434.58 and 135.84 is: 203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 434.58 = 135.84 : x
  2. Step 2: Convert to fraction form
    290.13/434.58 = 135.84/x
  3. Step 3: Cross multiply
    290.13x = 434.58 × 135.84
  4. Step 4: Simplify right side
    290.13x = 59,033.35
  5. Step 5: Solve for x
    x = 59,033.35/290.13
  6. Step 6: Final answer
    x = 203.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.