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Finding the Fourth Proportional to 297.18, 442.47 and 296.28

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Solution

The fourth proportional to 297.18, 442.47 and 296.28 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 442.47 = 296.28 : x
  2. Step 2: Convert to fraction form
    297.18/442.47 = 296.28/x
  3. Step 3: Cross multiply
    297.18x = 442.47 × 296.28
  4. Step 4: Simplify right side
    297.18x = 131,095.01
  5. Step 5: Solve for x
    x = 131,095.01/297.18
  6. Step 6: Final answer
    x = 441.13

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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.