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Finding the Fourth Proportional to 177.53, 244.62 and 156.57

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Solution

The fourth proportional to 177.53, 244.62 and 156.57 is: 215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.53 : 244.62 = 156.57 : x
  2. Step 2: Convert to fraction form
    177.53/244.62 = 156.57/x
  3. Step 3: Cross multiply
    177.53x = 244.62 × 156.57
  4. Step 4: Simplify right side
    177.53x = 38,299.24
  5. Step 5: Solve for x
    x = 38,299.24/177.53
  6. Step 6: Final answer
    x = 215.74

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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.