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Finding the Fourth Proportional to 403.06, 603.31 and 291.68

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Solution

The fourth proportional to 403.06, 603.31 and 291.68 is: 436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.06 : 603.31 = 291.68 : x
  2. Step 2: Convert to fraction form
    403.06/603.31 = 291.68/x
  3. Step 3: Cross multiply
    403.06x = 603.31 × 291.68
  4. Step 4: Simplify right side
    403.06x = 175,973.46
  5. Step 5: Solve for x
    x = 175,973.46/403.06
  6. Step 6: Final answer
    x = 436.59

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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.