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Finding the Fourth Proportional to 473.10, 709.47 and 164.94

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Solution

The fourth proportional to 473.10, 709.47 and 164.94 is: 247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 709.47 = 164.94 : x
  2. Step 2: Convert to fraction form
    473.10/709.47 = 164.94/x
  3. Step 3: Cross multiply
    473.10x = 709.47 × 164.94
  4. Step 4: Simplify right side
    473.10x = 117,019.98
  5. Step 5: Solve for x
    x = 117,019.98/473.10
  6. Step 6: Final answer
    x = 247.35

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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.