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Finding the Fourth Proportional to 335.84, 500.98 and 296.96

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Solution

The fourth proportional to 335.84, 500.98 and 296.96 is: 442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.84 : 500.98 = 296.96 : x
  2. Step 2: Convert to fraction form
    335.84/500.98 = 296.96/x
  3. Step 3: Cross multiply
    335.84x = 500.98 × 296.96
  4. Step 4: Simplify right side
    335.84x = 148,771.02
  5. Step 5: Solve for x
    x = 148,771.02/335.84
  6. Step 6: Final answer
    x = 442.98

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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.