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Finding the Fourth Proportional to 446.42, 669.15 and 157.76

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Solution

The fourth proportional to 446.42, 669.15 and 157.76 is: 236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.42 : 669.15 = 157.76 : x
  2. Step 2: Convert to fraction form
    446.42/669.15 = 157.76/x
  3. Step 3: Cross multiply
    446.42x = 669.15 × 157.76
  4. Step 4: Simplify right side
    446.42x = 105,565.10
  5. Step 5: Solve for x
    x = 105,565.10/446.42
  6. Step 6: Final answer
    x = 236.47

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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.