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Finding the Fourth Proportional to 298.36, 448.23 and 176.71

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Solution

The fourth proportional to 298.36, 448.23 and 176.71 is: 265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 448.23 = 176.71 : x
  2. Step 2: Convert to fraction form
    298.36/448.23 = 176.71/x
  3. Step 3: Cross multiply
    298.36x = 448.23 × 176.71
  4. Step 4: Simplify right side
    298.36x = 79,206.72
  5. Step 5: Solve for x
    x = 79,206.72/298.36
  6. Step 6: Final answer
    x = 265.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.