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Finding the Fourth Proportional to 290.04, 433.13 and 273

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Solution

The fourth proportional to 290.04, 433.13 and 273 is: 407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 433.13 = 273 : x
  2. Step 2: Convert to fraction form
    290.04/433.13 = 273/x
  3. Step 3: Cross multiply
    290.04x = 433.13 × 273
  4. Step 4: Simplify right side
    290.04x = 118,244.49
  5. Step 5: Solve for x
    x = 118,244.49/290.04
  6. Step 6: Final answer
    x = 407.68

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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.