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Finding the Fourth Proportional to 474.95, 712.53 and 150.34

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Solution

The fourth proportional to 474.95, 712.53 and 150.34 is: 225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.95 : 712.53 = 150.34 : x
  2. Step 2: Convert to fraction form
    474.95/712.53 = 150.34/x
  3. Step 3: Cross multiply
    474.95x = 712.53 × 150.34
  4. Step 4: Simplify right side
    474.95x = 107,121.76
  5. Step 5: Solve for x
    x = 107,121.76/474.95
  6. Step 6: Final answer
    x = 225.54

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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.