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Finding the Fourth Proportional to 298.47, 444.63 and 289.40

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Solution

The fourth proportional to 298.47, 444.63 and 289.40 is: 431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.47 : 444.63 = 289.40 : x
  2. Step 2: Convert to fraction form
    298.47/444.63 = 289.40/x
  3. Step 3: Cross multiply
    298.47x = 444.63 × 289.40
  4. Step 4: Simplify right side
    298.47x = 128,675.80
  5. Step 5: Solve for x
    x = 128,675.80/298.47
  6. Step 6: Final answer
    x = 431.12

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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.