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Finding the Fourth Proportional to 290.12, 433.11 and 280.00

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Solution

The fourth proportional to 290.12, 433.11 and 280.00 is: 417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 433.11 = 280.00 : x
  2. Step 2: Convert to fraction form
    290.12/433.11 = 280.00/x
  3. Step 3: Cross multiply
    290.12x = 433.11 × 280.00
  4. Step 4: Simplify right side
    290.12x = 121,267.23
  5. Step 5: Solve for x
    x = 121,267.23/290.12
  6. Step 6: Final answer
    x = 417.99

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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.