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Finding the Fourth Proportional to 296.86, 407.06 and 286.56

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Solution

The fourth proportional to 296.86, 407.06 and 286.56 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 407.06 = 286.56 : x
  2. Step 2: Convert to fraction form
    296.86/407.06 = 286.56/x
  3. Step 3: Cross multiply
    296.86x = 407.06 × 286.56
  4. Step 4: Simplify right side
    296.86x = 116,647.11
  5. Step 5: Solve for x
    x = 116,647.11/296.86
  6. Step 6: Final answer
    x = 392.94

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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.