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Finding the Fourth Proportional to 472.68, 709.11 and 148.05

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Solution

The fourth proportional to 472.68, 709.11 and 148.05 is: 222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 709.11 = 148.05 : x
  2. Step 2: Convert to fraction form
    472.68/709.11 = 148.05/x
  3. Step 3: Cross multiply
    472.68x = 709.11 × 148.05
  4. Step 4: Simplify right side
    472.68x = 104,983.74
  5. Step 5: Solve for x
    x = 104,983.74/472.68
  6. Step 6: Final answer
    x = 222.10

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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.