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Finding the Fourth Proportional to 298.13, 444.68 and 289.02

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Solution

The fourth proportional to 298.13, 444.68 and 289.02 is: 431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 444.68 = 289.02 : x
  2. Step 2: Convert to fraction form
    298.13/444.68 = 289.02/x
  3. Step 3: Cross multiply
    298.13x = 444.68 × 289.02
  4. Step 4: Simplify right side
    298.13x = 128,521.41
  5. Step 5: Solve for x
    x = 128,521.41/298.13
  6. Step 6: Final answer
    x = 431.09

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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.