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Finding the Fourth Proportional to 296.64, 442.02 and 286.80

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Solution

The fourth proportional to 296.64, 442.02 and 286.80 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 442.02 = 286.80 : x
  2. Step 2: Convert to fraction form
    296.64/442.02 = 286.80/x
  3. Step 3: Cross multiply
    296.64x = 442.02 × 286.80
  4. Step 4: Simplify right side
    296.64x = 126,771.34
  5. Step 5: Solve for x
    x = 126,771.34/296.64
  6. Step 6: Final answer
    x = 427.36

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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.