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Finding the Fourth Proportional to 296.46, 407.79 and 277.02

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Solution

The fourth proportional to 296.46, 407.79 and 277.02 is: 381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 407.79 = 277.02 : x
  2. Step 2: Convert to fraction form
    296.46/407.79 = 277.02/x
  3. Step 3: Cross multiply
    296.46x = 407.79 × 277.02
  4. Step 4: Simplify right side
    296.46x = 112,965.99
  5. Step 5: Solve for x
    x = 112,965.99/296.46
  6. Step 6: Final answer
    x = 381.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.