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Finding the Fourth Proportional to 290.66, 433.51 and 272.30

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Solution

The fourth proportional to 290.66, 433.51 and 272.30 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.66 : 433.51 = 272.30 : x
  2. Step 2: Convert to fraction form
    290.66/433.51 = 272.30/x
  3. Step 3: Cross multiply
    290.66x = 433.51 × 272.30
  4. Step 4: Simplify right side
    290.66x = 118,044.77
  5. Step 5: Solve for x
    x = 118,044.77/290.66
  6. Step 6: Final answer
    x = 406.13

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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.