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Finding the Fourth Proportional to 296.30, 442.14 and 265.56

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Solution

The fourth proportional to 296.30, 442.14 and 265.56 is: 396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.30 : 442.14 = 265.56 : x
  2. Step 2: Convert to fraction form
    296.30/442.14 = 265.56/x
  3. Step 3: Cross multiply
    296.30x = 442.14 × 265.56
  4. Step 4: Simplify right side
    296.30x = 117,412.04
  5. Step 5: Solve for x
    x = 117,412.04/296.30
  6. Step 6: Final answer
    x = 396.26

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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.