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Finding the Fourth Proportional to 485.84, 729.04 and 290.90

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Solution

The fourth proportional to 485.84, 729.04 and 290.90 is: 436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.84 : 729.04 = 290.90 : x
  2. Step 2: Convert to fraction form
    485.84/729.04 = 290.90/x
  3. Step 3: Cross multiply
    485.84x = 729.04 × 290.90
  4. Step 4: Simplify right side
    485.84x = 212,077.74
  5. Step 5: Solve for x
    x = 212,077.74/485.84
  6. Step 6: Final answer
    x = 436.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.