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Finding the Fourth Proportional to 290.19, 434.92 and 207.50

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Solution

The fourth proportional to 290.19, 434.92 and 207.50 is: 310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.19 : 434.92 = 207.50 : x
  2. Step 2: Convert to fraction form
    290.19/434.92 = 207.50/x
  3. Step 3: Cross multiply
    290.19x = 434.92 × 207.50
  4. Step 4: Simplify right side
    290.19x = 90,243.98
  5. Step 5: Solve for x
    x = 90,243.98/290.19
  6. Step 6: Final answer
    x = 310.98

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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.