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Finding the Fourth Proportional to 290.10, 432.44 and 277.95

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Solution

The fourth proportional to 290.10, 432.44 and 277.95 is: 414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.10 : 432.44 = 277.95 : x
  2. Step 2: Convert to fraction form
    290.10/432.44 = 277.95/x
  3. Step 3: Cross multiply
    290.10x = 432.44 × 277.95
  4. Step 4: Simplify right side
    290.10x = 120,196.70
  5. Step 5: Solve for x
    x = 120,196.70/290.10
  6. Step 6: Final answer
    x = 414.33

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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.