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Finding the Fourth Proportional to 296.11, 440.76 and 291.72

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Solution

The fourth proportional to 296.11, 440.76 and 291.72 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.11 : 440.76 = 291.72 : x
  2. Step 2: Convert to fraction form
    296.11/440.76 = 291.72/x
  3. Step 3: Cross multiply
    296.11x = 440.76 × 291.72
  4. Step 4: Simplify right side
    296.11x = 128,581.25
  5. Step 5: Solve for x
    x = 128,581.25/296.11
  6. Step 6: Final answer
    x = 434.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.