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Finding the Fourth Proportional to 290.49, 433.98 and 186.93

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Solution

The fourth proportional to 290.49, 433.98 and 186.93 is: 279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.49 : 433.98 = 186.93 : x
  2. Step 2: Convert to fraction form
    290.49/433.98 = 186.93/x
  3. Step 3: Cross multiply
    290.49x = 433.98 × 186.93
  4. Step 4: Simplify right side
    290.49x = 81,123.88
  5. Step 5: Solve for x
    x = 81,123.88/290.49
  6. Step 6: Final answer
    x = 279.27

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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.