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Finding the Fourth Proportional to 297.18, 442.86 and 288.84

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Solution

The fourth proportional to 297.18, 442.86 and 288.84 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 442.86 = 288.84 : x
  2. Step 2: Convert to fraction form
    297.18/442.86 = 288.84/x
  3. Step 3: Cross multiply
    297.18x = 442.86 × 288.84
  4. Step 4: Simplify right side
    297.18x = 127,915.68
  5. Step 5: Solve for x
    x = 127,915.68/297.18
  6. Step 6: Final answer
    x = 430.43

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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.