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Finding the Fourth Proportional to 296.76, 411.63 and 288.84

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Solution

The fourth proportional to 296.76, 411.63 and 288.84 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.76 : 411.63 = 288.84 : x
  2. Step 2: Convert to fraction form
    296.76/411.63 = 288.84/x
  3. Step 3: Cross multiply
    296.76x = 411.63 × 288.84
  4. Step 4: Simplify right side
    296.76x = 118,895.21
  5. Step 5: Solve for x
    x = 118,895.21/296.76
  6. Step 6: Final answer
    x = 400.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.