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Finding the Fourth Proportional to 296.40, 442.26 and 248.40

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Solution

The fourth proportional to 296.40, 442.26 and 248.40 is: 370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.40 : 442.26 = 248.40 : x
  2. Step 2: Convert to fraction form
    296.40/442.26 = 248.40/x
  3. Step 3: Cross multiply
    296.40x = 442.26 × 248.40
  4. Step 4: Simplify right side
    296.40x = 109,857.38
  5. Step 5: Solve for x
    x = 109,857.38/296.40
  6. Step 6: Final answer
    x = 370.64

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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.