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Finding the Fourth Proportional to 472.95, 709.01 and 184.19

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Solution

The fourth proportional to 472.95, 709.01 and 184.19 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.95 : 709.01 = 184.19 : x
  2. Step 2: Convert to fraction form
    472.95/709.01 = 184.19/x
  3. Step 3: Cross multiply
    472.95x = 709.01 × 184.19
  4. Step 4: Simplify right side
    472.95x = 130,591.24
  5. Step 5: Solve for x
    x = 130,591.24/472.95
  6. Step 6: Final answer
    x = 276.12

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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.