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Finding the Fourth Proportional to 177.81, 265.76 and 162.32

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Solution

The fourth proportional to 177.81, 265.76 and 162.32 is: 242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.81 : 265.76 = 162.32 : x
  2. Step 2: Convert to fraction form
    177.81/265.76 = 162.32/x
  3. Step 3: Cross multiply
    177.81x = 265.76 × 162.32
  4. Step 4: Simplify right side
    177.81x = 43,136.02
  5. Step 5: Solve for x
    x = 43,136.02/177.81
  6. Step 6: Final answer
    x = 242.60

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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.