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Finding the Fourth Proportional to 364.68, 544.42 and 320.64

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Solution

The fourth proportional to 364.68, 544.42 and 320.64 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 544.42 = 320.64 : x
  2. Step 2: Convert to fraction form
    364.68/544.42 = 320.64/x
  3. Step 3: Cross multiply
    364.68x = 544.42 × 320.64
  4. Step 4: Simplify right side
    364.68x = 174,562.83
  5. Step 5: Solve for x
    x = 174,562.83/364.68
  6. Step 6: Final answer
    x = 478.67

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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.