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Finding the Fourth Proportional to 296.04, 440.57 and 287.40

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Solution

The fourth proportional to 296.04, 440.57 and 287.40 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 440.57 = 287.40 : x
  2. Step 2: Convert to fraction form
    296.04/440.57 = 287.40/x
  3. Step 3: Cross multiply
    296.04x = 440.57 × 287.40
  4. Step 4: Simplify right side
    296.04x = 126,619.82
  5. Step 5: Solve for x
    x = 126,619.82/296.04
  6. Step 6: Final answer
    x = 427.71

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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.