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Finding the Fourth Proportional to 296.84, 407.02 and 269.12

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Solution

The fourth proportional to 296.84, 407.02 and 269.12 is: 369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.84 : 407.02 = 269.12 : x
  2. Step 2: Convert to fraction form
    296.84/407.02 = 269.12/x
  3. Step 3: Cross multiply
    296.84x = 407.02 × 269.12
  4. Step 4: Simplify right side
    296.84x = 109,537.22
  5. Step 5: Solve for x
    x = 109,537.22/296.84
  6. Step 6: Final answer
    x = 369.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.