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Finding the Fourth Proportional to 320.10, 477.85 and 298.83

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Solution

The fourth proportional to 320.10, 477.85 and 298.83 is: 446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.10 : 477.85 = 298.83 : x
  2. Step 2: Convert to fraction form
    320.10/477.85 = 298.83/x
  3. Step 3: Cross multiply
    320.10x = 477.85 × 298.83
  4. Step 4: Simplify right side
    320.10x = 142,795.92
  5. Step 5: Solve for x
    x = 142,795.92/320.10
  6. Step 6: Final answer
    x = 446.10

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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.