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Finding the Fourth Proportional to 403.68, 607.83 and 296.22

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Solution

The fourth proportional to 403.68, 607.83 and 296.22 is: 446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 607.83 = 296.22 : x
  2. Step 2: Convert to fraction form
    403.68/607.83 = 296.22/x
  3. Step 3: Cross multiply
    403.68x = 607.83 × 296.22
  4. Step 4: Simplify right side
    403.68x = 180,051.40
  5. Step 5: Solve for x
    x = 180,051.40/403.68
  6. Step 6: Final answer
    x = 446.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.