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Finding the Fourth Proportional to 446.56, 669.93 and 158.02

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Solution

The fourth proportional to 446.56, 669.93 and 158.02 is: 237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 669.93 = 158.02 : x
  2. Step 2: Convert to fraction form
    446.56/669.93 = 158.02/x
  3. Step 3: Cross multiply
    446.56x = 669.93 × 158.02
  4. Step 4: Simplify right side
    446.56x = 105,862.34
  5. Step 5: Solve for x
    x = 105,862.34/446.56
  6. Step 6: Final answer
    x = 237.06

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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.