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Finding the Fourth Proportional to 320.58, 478.13 and 274.50

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Solution

The fourth proportional to 320.58, 478.13 and 274.50 is: 409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.58 : 478.13 = 274.50 : x
  2. Step 2: Convert to fraction form
    320.58/478.13 = 274.50/x
  3. Step 3: Cross multiply
    320.58x = 478.13 × 274.50
  4. Step 4: Simplify right side
    320.58x = 131,245.31
  5. Step 5: Solve for x
    x = 131,245.31/320.58
  6. Step 6: Final answer
    x = 409.40

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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.