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Finding the Fourth Proportional to 296.27, 407.07 and 277.31

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Solution

The fourth proportional to 296.27, 407.07 and 277.31 is: 381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.27 : 407.07 = 277.31 : x
  2. Step 2: Convert to fraction form
    296.27/407.07 = 277.31/x
  3. Step 3: Cross multiply
    296.27x = 407.07 × 277.31
  4. Step 4: Simplify right side
    296.27x = 112,881.51
  5. Step 5: Solve for x
    x = 112,881.51/296.27
  6. Step 6: Final answer
    x = 381.02

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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.