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Finding the Fourth Proportional to 478.02, 715.24 and 272.77

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Solution

The fourth proportional to 478.02, 715.24 and 272.77 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.02 : 715.24 = 272.77 : x
  2. Step 2: Convert to fraction form
    478.02/715.24 = 272.77/x
  3. Step 3: Cross multiply
    478.02x = 715.24 × 272.77
  4. Step 4: Simplify right side
    478.02x = 195,096.01
  5. Step 5: Solve for x
    x = 195,096.01/478.02
  6. Step 6: Final answer
    x = 408.13

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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.