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Finding the Fourth Proportional to 238.72, 356.60 and 177.52

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Solution

The fourth proportional to 238.72, 356.60 and 177.52 is: 265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 356.60 = 177.52 : x
  2. Step 2: Convert to fraction form
    238.72/356.60 = 177.52/x
  3. Step 3: Cross multiply
    238.72x = 356.60 × 177.52
  4. Step 4: Simplify right side
    238.72x = 63,303.63
  5. Step 5: Solve for x
    x = 63,303.63/238.72
  6. Step 6: Final answer
    x = 265.18

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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.