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Finding the Fourth Proportional to 177.66, 264.94 and 157.99

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Solution

The fourth proportional to 177.66, 264.94 and 157.99 is: 235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 264.94 = 157.99 : x
  2. Step 2: Convert to fraction form
    177.66/264.94 = 157.99/x
  3. Step 3: Cross multiply
    177.66x = 264.94 × 157.99
  4. Step 4: Simplify right side
    177.66x = 41,856.81
  5. Step 5: Solve for x
    x = 41,856.81/177.66
  6. Step 6: Final answer
    x = 235.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.