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Finding the Fourth Proportional to 320.48, 444.28 and 302.94

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Solution

The fourth proportional to 320.48, 444.28 and 302.94 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.48 : 444.28 = 302.94 : x
  2. Step 2: Convert to fraction form
    320.48/444.28 = 302.94/x
  3. Step 3: Cross multiply
    320.48x = 444.28 × 302.94
  4. Step 4: Simplify right side
    320.48x = 134,592.10
  5. Step 5: Solve for x
    x = 134,592.10/320.48
  6. Step 6: Final answer
    x = 419.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.