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Finding the Fourth Proportional to 298.61, 446.12 and 288.38

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Solution

The fourth proportional to 298.61, 446.12 and 288.38 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.61 : 446.12 = 288.38 : x
  2. Step 2: Convert to fraction form
    298.61/446.12 = 288.38/x
  3. Step 3: Cross multiply
    298.61x = 446.12 × 288.38
  4. Step 4: Simplify right side
    298.61x = 128,648.41
  5. Step 5: Solve for x
    x = 128,648.41/298.61
  6. Step 6: Final answer
    x = 430.83

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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.