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Finding the Fourth Proportional to 472.72, 709.12 and 148

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Solution

The fourth proportional to 472.72, 709.12 and 148 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 709.12 = 148 : x
  2. Step 2: Convert to fraction form
    472.72/709.12 = 148/x
  3. Step 3: Cross multiply
    472.72x = 709.12 × 148
  4. Step 4: Simplify right side
    472.72x = 104,949.76
  5. Step 5: Solve for x
    x = 104,949.76/472.72
  6. Step 6: Final answer
    x = 222.01

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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.