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Finding the Fourth Proportional to 296.39, 442.41 and 258.14

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Solution

The fourth proportional to 296.39, 442.41 and 258.14 is: 385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.39 : 442.41 = 258.14 : x
  2. Step 2: Convert to fraction form
    296.39/442.41 = 258.14/x
  3. Step 3: Cross multiply
    296.39x = 442.41 × 258.14
  4. Step 4: Simplify right side
    296.39x = 114,201.51
  5. Step 5: Solve for x
    x = 114,201.51/296.39
  6. Step 6: Final answer
    x = 385.31

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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.