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Finding the Fourth Proportional to 131.66, 181.80 and 127.58

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Solution

The fourth proportional to 131.66, 181.80 and 127.58 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.66 : 181.80 = 127.58 : x
  2. Step 2: Convert to fraction form
    131.66/181.80 = 127.58/x
  3. Step 3: Cross multiply
    131.66x = 181.80 × 127.58
  4. Step 4: Simplify right side
    131.66x = 23,194.04
  5. Step 5: Solve for x
    x = 23,194.04/131.66
  6. Step 6: Final answer
    x = 176.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.