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Finding the Fourth Proportional to 177.40, 264.57 and 160.12

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Solution

The fourth proportional to 177.40, 264.57 and 160.12 is: 238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 264.57 = 160.12 : x
  2. Step 2: Convert to fraction form
    177.40/264.57 = 160.12/x
  3. Step 3: Cross multiply
    177.40x = 264.57 × 160.12
  4. Step 4: Simplify right side
    177.40x = 42,362.95
  5. Step 5: Solve for x
    x = 42,362.95/177.40
  6. Step 6: Final answer
    x = 238.80

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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.