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Finding the Fourth Proportional to 478.10, 716.34 and 272.16

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Solution

The fourth proportional to 478.10, 716.34 and 272.16 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.10 : 716.34 = 272.16 : x
  2. Step 2: Convert to fraction form
    478.10/716.34 = 272.16/x
  3. Step 3: Cross multiply
    478.10x = 716.34 × 272.16
  4. Step 4: Simplify right side
    478.10x = 194,960.12
  5. Step 5: Solve for x
    x = 194,960.12/478.10
  6. Step 6: Final answer
    x = 407.78

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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.