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Finding the Fourth Proportional to 471.58, 707.34 and 146.95

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Solution

The fourth proportional to 471.58, 707.34 and 146.95 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.58 : 707.34 = 146.95 : x
  2. Step 2: Convert to fraction form
    471.58/707.34 = 146.95/x
  3. Step 3: Cross multiply
    471.58x = 707.34 × 146.95
  4. Step 4: Simplify right side
    471.58x = 103,943.61
  5. Step 5: Solve for x
    x = 103,943.61/471.58
  6. Step 6: Final answer
    x = 220.42

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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.